I get a stuffy nose when I drink beer and my fingers swell up on occasion. Could this be an allergic reaction?

Could be. See an allergist to discuss the complete circumstances during several episodes. Other factors could be involved.
No. But it is an adverse reaction to beer. The reaction won't kill you, so you have to decide whether it's worth it to you to drink beer, knowing that that is how you will feel afterwards (on top of everything else you'll feel if you drink too much!).