No way, I wouldn't recommend doing this for any prescription or non-prescription contacts. The reason being that, the tear/imperfection/bubble/whatever it is will not agree with the eye very well. It will irritate the eye, may make it water a lot, become red, etc. It may even feel like the feeling of having something in your eye. If the imperfection/tear has a "sharp" edge on it (even a 'soft' contact can have a 'sharp' edge - the eye is super sensitive) due to the defect in it, you might injure your eye somehow. Possibly a detached retina if there was a lot of pressure/scraping on the eye when you blink (I'm not a medical or eye professional, so I'm not sure how easy the odds are for something like that, but anything is possible). Something more possible would be a corneal abrasion (something my mom got from getting a little dog hair in her eye the other day - so it doesn't always take a lot). It can take days for that to go away, and it's basically a skin/scrape on the cornea part of the eye that can make it feel like something is in your eye.
Plus, the blurry vision from the distortion can hurt your vision in general. Your eye would be straining to see, and it may make your prescription change and get worse in that eye.