Why yes, there was a game called Jumpman for the Commodore 64:
And, here is a screen shot:
This is what I thought what Syd was talking about until I went to the link, and then realized that all those comment posters need be smashed with bricks.
Dumbass bitching about Mario only jumping over barrels, and the other guy talking about "Jumpman". The guy in my screenshots above is the original and true Jumpman.
Fucking kids....