After my breast augmentation I feel like my bandages are so tight I am having trouble breathing. Should they be this tight?

No it should not feel that tight, call your doc to see if you are having a bleed or is it just that the bandages need to be loosened 

You should always follow your doctors instructions post-op. But if you feel uncomfortable you should let your doctor know. You should not be having trouble breathing, so you may have to loosen up the bandages.

I usually advise patients to follow their surgeons' post op instructions. They have a reason for them and should be followed as best as possible. But if you are having trouble breathing and are really uncomfortable, I can not think of a reason that you could not remove or loosen your bandage. I would suggest calling your surgeon and asking the question directly. Most surgeons do not use a chest compression wrap which would indicate that removing it really should not cause any issues.