If you are talking about a normal rosewood/ebony/etc bridge glued to a guitar top, I don't think that joint will hold up to the stress.
In a normal steel sting guitar with a pinned bridge, the ball ends of the strings are pulling up against the bridge plate, which is on the underside of the top. The strings are trying to pull the bridge plate through the top of the guitar, which they just can't.
With a pinless bridge, all the tension of the strings would be put on the glue joint of bridge+top.
Classical guitars use pinless bridges all day long, but the string tension is much less than on a steel string git.
Yes, I know that Breedlove and others make pinless steel string bridges. I don't know how that works. I suspect aliens are involved.
-A