These are to the best of my knowledge, the physics of super human strength related to punching (if there is such a thing):
To start, when a human being punches, he/she generates force by one of the following:
Torque - generate centripetal force by swinging the weight of the arm
Leverage - pushing off the ground slightly and/or against one's own weight or speed
In order to generate escape velocity, a human being would not be able to use those means because:
Torque - The person would have to anchor the centripetal force with their body somehow, so unless they have super-human obesity (or density) or super-human physics, they're not really going to be able to aim using torque.
Leverage - The person's feet and body would sink into the ground like a bullet and their punch would miss (which would be funny)
So basically you need to answer this question: Where does the super force come from and when does it work?
Where does it come from?
If the force comes ex nihilo or in another way that does not obey the laws of physics, then all bets are off, but then you can have someone get punched into the atmosphere (totally worth suspending physics).
A Dilemma
Let EV = <PERSON>'s required to generate escape velocity
You are stuck in a catch-22 I like to call the super-cancelling dilemma. If a person can punch with super human force, they can also absorb that amount of force (dissipating it "into the universe" or whatever) otherwise they have to break the laws of physics. So the puncher generates EV newtons by creating and simultaneously absorbing that force in his/her own body thus reaching the punchee with the force and transferring it. But here's the catch 22...
If BOTH brawlers can absorb that amount of energy, they will not be able to force each other at all (EV - EV = 0), and the fight wouldn't appear to be super human unless a regular object or person got in the way in which case it would be obliterated.
The one brawler would need superhuman means, so the ball is back in your court since you got them into this predicament to begin with - now you have to get them out.
The fight would look normal if they could absorb exactly the same amount as they could dish out, so if one is slightly stronger than the other but multiplied by hundreds of thousands of Newtons, you're talking about guys flying through the atmosphere again, but that means the one person must be roughly twice as strong as a super-human who can generate EV or more force (2EV - EV). 621
If there is some fluctuation (as there is in a real fight), and that fluctuation can be in the thousands of Newtons, now you're talking about a one punch fight. One guy punches punches with EV + 1 Ns and the other guy absorbs Ev - 1 Ns of force. Well, if they are immutable, now you've got that guy flying with ~2000 Ns in whatever direction he was struck.
Further considerations
If a punch misses, can that puncher "reabsorb" the force even though they absorbed it once already to create it, or will that person go flying in the direction of their swing?
Can the super-human body absorb at the same ratio as a regular human? if so, it will appear like a normal fight. If not, they'll obliterate one another at the first punch with a only a tiny variation relative to the normal godly force.
If there is an angle, deflection, speed, or interference at all, you need to recalculate (in other words, you are facing a myriad of variables)
So No, that's not possible based only on the parameters you gave. They would need a way to create and absorb the force at the same time. 621