Why not? We're in the 21st century. There are no "rules" who should ask who out. So, if you want to ask him, ask him.
1st, are you a boy or girl?
Find out by asking her, or her friends, if she's already going with someone else....
No I cannot ask someone to dance for you.
I think that you should write them a letter.
Attach a note that says "It would be 'cool' if you would 'dew' me the favor of...