Many wrist straps attach to the tripod mount, so yes, it's absolutely possible. I personally attach mine to a small, key-ring attached to the right side of the camera as I find the tripod mount to be a little too far from where my hand wants to be. I'd have no issue putting a normal strap on the right strap bracket while the ring is also on it, though I suspect that the hand could start to get tangled between the two.