Not really. Birds have a cloaca through which all waste and reproductive activity is passed. The cloacas are pressed together during copulation and sperm is so transferred.
However, some birds such as ostriches and many waterfowl do have an appendage which could be called a penis but this is not used to pass urine, only spermatozoa. This appendage which is a growth from the cloaca is necesarry for transferring sperm as these birds mate in the water or their body form makes the usual method impossible.