Let's do some (rough!) sums and apply conservative assumptions. Felixa has a gravitation potential energy of
70*9.8*400000 = 274400000 J
But that assumes constant gravitation. Though gravity is not that much weaker at 400 km up. Let's say that GPE is about 200 MJ.
Kinetic energy is more interesting. Assuming a velocity of 7.66 km/s she has
0.5*70*7660^2 = 4107292000 J
So about 2 billion Joules of kinetic energy.
Okay, now how long does she have to get rid of it on the descent? In a parachute the terminal velocity is about 8 m/s. Assuming that she maintains this rate of descent from the top of the stratosphere (which is extremely favorable values, given that the atmosphere is 1/1000th the pressure as at sea level), then Felixa lands in about 6000 seconds.
So to shed all that energy, she needs to be doing about 350 kW. With more realistic assumptions, probably orders of magnitude more. Even more realistically, her chute will be torn to shreds and she'll hit the ground with a boom.
Yeah, she's toast. And no, nothing she can do can save her. None of what she has can match up to the numbers at play here.