Yes, there are probably a number of stereotypes for bullies.
Most people probably think of someone who threatens to beat you up
if you don't give them your lunch money. Some may think of someone
who pushes people down the stairs or who gives "swirlies"
(head-dunking) in the restroom. In terms of appearance, people
often think of bullies as being unattractive, overweight, having
some acne, and maybe a ruddy complexion. Others might think of
someone who looks more like an athlete, with maybe a few stray
facial hairs, maybe also with the acne and ruddy complexion. And
others might think of bullies as a belonging to an ethnic minority
and having a tough appearance (though those with softer faces might
actually feel more of a push to bully in reality), and maybe a ball
cap turned backwards, and wearing either a jersey or a ribbed
t-shirt. So there is no one stereotype, but different groups have
their own stereotypes of bullies.