Speaking as a truly horrific punster, you actually can. I have had numerous extremely amusing (and long, on the order of 20 minutes) conversations entirely consisting of throwing puns back and forth. Topics have varied from human sex organs (that one gets repeated a lot, unsurprisingly) to film/cameras and many other stranger things.

And that's a lovely pun, by the way. Who was the pour person who you told it to first? Hee hee.