Yes, it is possible to sing and play drums at the same time.

After Bob Seger, but before Ted Nugent, were
The Romantics.

From the resident Rock Critic at Wikipedia…

The Romantics were considered the second wave of Punk Rock from Detroit, following in the footsteps of such well-known area bands as The MC5, Mitch Ryder and the Detroit Wheels, and The Stooges. The Romantics play a more power pop/pop rock-oriented variation of punk rock known as pop punk. The band is also commonly classified into the category of “New Wave” by pop music historians.

Pop Punk. Can you dig it?