Worth a try. Not that I've ever bought Gorilla tape.
But Gorilla glue is variable. I used to be very impressed with it, apart from the fact it expanded like mad and could push things apart if unclamped. But I've had a few failures since. The memorable one being where I filled the hollow where the handle of a trowel fork (or whatever they're called) had come away from the prongs, and then pushed the two parts together, and left it to dry out. I figured it's tendency to expand would well and truly cause a nice tight fit/strong bond. Then I tried to use it, but it came apart again within minutes.