Just stopped taking birth control a week ago. Can I be pregnant? An feeling it so soon?

Unlikely. If you had been taking your birth control consistently prior to stopping, it generally takes two weeks to ovulate and another two weeks after that to have a positive pregnancy test. You may be feeling breast tenderness , pelvic fullness or other symptoms associated with ovulation as your body is preparing to do that again.
Possible, not likely. While it is possible it is highly unlikely. Nevertheless you may want to confirm or sent with pregnancy test.