No, and it looks to be too deep for most birds - they need a larger flat area than that bowl seems to have.

Well we want to put this butterfly fountain/dribbler that comes with a pump in it. So we want one that's deep enough for the pump to be immersed. http://www.fiddlecreekfarms.com/store/scripts/prodView.asp?idproduct=3407

(this isn't where we bought this but it's the same thing)

We also like this birdbath, but it seems too shallow: https://dsgardenshop.com/product/old-world-birdbath-octagon/

The metal base bird bath would be stable enough if you laid pavers or a really large paver very evenly. Also, if you cut out one of those plastic "saucers" (used to catch/hold water under a flower pot) to fit upside down over your pump, thus raising the level of water the birds use, that might work.

The second bird bath is beautiful and perfect for the birds, but your bubbler probably wouldn't work on it.