Can a person without any of the five physical senses attain arhatship? I have read a person without senses cannot attain arhatship or even go through the noble eight fold path. But the story of Chakkupala thero confuses me somewhat
I think it's been said that beings in the formless realms cannot attain enlightenment because they cannot perceive (hear, read, or otherwise learn) the Buddha's Dharma ... perhaps too they also can't perceive the three characteristics of existence.

This says,


  The inhabitants of these realms are possessed entirely of mind. Having no physical body, they are unable to hear Dhamma teachings.


See also footnote 8 on this page,


  An Abhidhamma text, the Vibhanga — drawing on a passage in DN 1 — mentions another level of devas of form not listed here: the Non-percipient beings, a level in which there is no perception at all. The commentary explains that they are not listed here because this attainment is open to hermits and seers outside the Buddha's teaching, and does not require virtue. This, however, ignores the fact that the four jhanas and four formless states are also open to people outside the Buddha's teaching; and although virtue helps with the attainment of jhana, it is nowhere stated in the Canon that the jhanas cannot be attained by a person whose virtue is not pure. A more likely reason for omitting the Non-percipient beings here is that this state, unlike the jhanas and four formless states, is not conducive to the arising of insight, and so would not be considered a desirable goal.


I don't know how to reconcile the above two statements, i.e. whether formless is the same as non-percipient.



People who are blind or deaf, or who are blind and deaf can learn to communicate. So I suppose this is only applicable to non-percipient beings in the formless realms: not people.

Cakkhupala Thera was able to hear the dharma.