My Subaru was towed tonight by a predatory tow company. I am disabled an d need my vehicle. I couldn't get to the tow truck in time but I believe my car was towed with two wheels in the air and two on the ground. Even without the green button in the middle of the stick shift engaged, i.e. 4 WD, is it still possible to do major damage to the drive train, and, is it fixable? Subaru has just over 100 thousand miles.

Sounds like a switch engages the 4wd? If it's a switch, 4wd isn't engaged without the power on. I have to ask, because I am not familiar with all of the various versions, and that can matter. How far was it towed? Short distance won't likely hurt anything.

If you have the usual, 2WD/4WD push button setup, it will not harm it at all.  This setup came on cars from 1990 onwards for sure, and on some previous models.

 

If you have the "full time 4WD", then there may have been some damage to the centre differential. 

 

Exactly which year and model do you have?