Of course NASA could have done something. The fact that it did nothing is tantamount to saying that the leadership of NASA are cold-blooded killers.
I have no doubt that this crew could have sustained life in orbit for up to 30 days until rescue, assuming efforts proceeded apace from the moment they entered orbit.
America does not deserve a manned program and NASA managers mays have thrown the live of seven exceptional individuals on the alter of Baal.
And your basis for believing that? Thirty-five years of watching Star Trek?
That is not true.