Along with drowsiness, dizziness, fatigue and more lyrica can definitely cause swelling and weight gain. Swelling and sometimes lots of it is, in fact, one of the common and discomforting side effects that Lyrica causes in some people. You should make your doctor aware of this sympton.
Don't stop the drug on your own; it's advised that if you need to stop the drug that you get off of it slowly. Some patients benefit from tapering off on Lyrica and then slowly ramping up again. For more on Lyrica and its side effects check out the URL below.