Is the belief in no rebirth conditioned by craving? Suppose somebody strongly believes in no post-mortem rebirth and strongly denies the possibility of the existence of rebirth.

Is such a belief/view a result of craving for views regarding rebirth?

Is it possible to attain Nirvana with such a belief/view?

Does an arahat strongly believe in no post-mortem rebirth and strongly deny the possibility of the existence of rebirth?
It's a very modern view, actually a very materialistic view at least, coming in camouflages of emptiness (e.g. householder equanimity, that like to deny effect of deeds)

It falls mostly even into one of the three 'evil views':


  From: Manual of Buddhist Terms and Doctrines, by Ven. Nyanatiloka
  
  The so-called 'evil views with fixed destiny' (niyata-micchāditthi) constituting the last of the 10 unwholesome courses of action (kammapatha), are the following three:
  
  
  (1) the fatalistic 'view of the uncaused ness' of existence (ahetukaditthi),
  (2) the view of the inefficacy of action' (akiriyaditthi),
  (3) nihilism (natthikaditthi).
  
  
  (1) was taught by Makkhali-Gosāla, a contemporary of the Buddha who denied every cause for the corruptness and purity of beings, and asserted that everything is minutely predestined by fate.
  
  (2) was taught by Pūrana-Kassapa, another contemporary of the Buddha who denied every karmical effect of good and bad actions: "To him who kills, steals, robs, etc., nothing bad will happen. For generosity, self-restraint and truthfulness, etc. no reward is to be expected."
  
  (3) was taught by Ajita-Kesakambali, a third contemporary of the Buddha who asserted that any belief in good action and its reward is a mere delusion, that after death no further life would follow, that man at death would become dissolved into the elements, etc.
  
  
    Table I - Consciousness-States (viññāna kkhandha)
    karmic unwholesome (akusala), Rooted in attachment (lobha):
    
    
    accompanied by joy, associated with wrong view, unprompted
    accompanied by joy, associated with wrong view, prompted
    accompanied by joy, dissociated with wrong view, unprompted
    accompanied by joy, dissociated with wrong view, prompted
    accompanied by indifference, associated with wrong view, unprompted
    accompanied by indifference, associated with wrong view, prompted
    accompanied by indifference, dissociated with wrong view, unprompted
    
    
    29.accompanied by indifference, dissociated with wrong view, prompted
  


See also: How to address wrong view?

Usually they deny mundane right view and excuse their action by transcendent right views means.

How ever, it does not mean that everybody who does not firm believe in rebirth is destinated to low reals!

If one holds on a liberal perspective while being vituose in a mood "what ever may came" or "for now, I do not know but also can not exclude" like suggested to the Kalamas:


  "Now, Kalamas, one who is a disciple of the noble ones — his mind thus free from hostility, free from ill will, undefiled, &amp; pure — acquires four assurances in the here-&amp;-now:
  
  "'If there is a world after death, if there is the fruit of actions rightly &amp; wrongly done, then this is the basis by which, with the break-up of the body, after death, I will reappear in a good destination, the heavenly world.' This is the first assurance he acquires.
  
  "'But if there is no world after death, if there is no fruit of actions rightly &amp; wrongly done, then here in the present life I look after myself with ease — free from hostility, free from ill will, free from trouble.' This is the second assurance he acquires.
  
  "'If evil is done through acting, still I have willed no evil for anyone. Having done no evil action, from where will suffering touch me?' This is the third assurance he acquires.
  
  "'But if no evil is done through acting, then I can assume myself pure in both respects.' This is the fourth assurance he acquires.
  
  "One who is a disciple of the noble ones — his mind thus free from hostility, free from ill will, undefiled, &amp; pure — acquires these four assurances in the here-&amp;-now."


Because not acting unwholesome out of any believe, seeing the benefit of virtue in all cases, one is good protected to be not destinated upwards as well.

So it should not be understood in a way that the Buddha or his disciples force you to take on a believe or that someone not believing on rebirth, maybe even never gave it a thought, althought he/she is a virtuous person, acts in good and harmless way, is destinated, out of missing a conscious believe, to unpleasant states.

It all comes down to the actions by mind, speech and bodily deeds one performes of where he/she would find him/herselves later on.

If starting to keep the five precepts firm, you will see for your self that youR welbeing increases and states "as if in hell" do no more accure that often or even fade eternally. Then, later, you see cause and effects for youself, knowing that your current existence is not just something that happens accidently or by power of others or ends with that done today and that you future is designed by previous and current deeds. Here you are for now and there you could be, or there. Own choices design the path where to go and they can not be made undone.

Once you came till here you can be Comfortable with the truth

[Note: This is a gift of Dhamma, not meant for commercial purpose or other low wordily gains by means of trade and exchange]