Would this be a good idea?
If you are talking wi-fi, then there is a tiny bit of latency but isn't going to be even noticeable, at least not in causing a financial difference.
If you are talking about mobile wireless data connection, the latency will probably put you at a disadvantage.
Would this be a good idea? Also, how much bandwidth does mining consume?
For most pools you would do less than 100 MB per day down, and an even smaller amount up.