No. It will tell you this on the information leaflet you got with the penicillin and the pharmatist should have told you when you got the prescription.
There are plenty of reasons for being cautious about alcohol, but taking penicillin isn't one of them. In fact, it's OK to drink alcohol with nearly all antibiotics, though just a few might make you nauseous. So read the label carefully.
Alcohol will decrease the effectiveness of the penicillin and will decrease the immune response by the body. Alcohol may also irritate your stomach if taken with penicillin, so use it with moderation.