You have a few misconceptions here.
Verlinde's theory does not really say that there is no gravity
Instead, it gives a "mechanical" explanation for (Newtonian) gravity, through some sort of entropy differences, which I do not fully understand.
Verlinde's theory is not likely to be true, anyway
Verlinde's theory only derives Newtonian Gravity, and it is unlikely that it will be ever consistent with General Relativity, for example,.
While it has been pointed out in the comments by Danu & Jerry Schrimer (and I think I had a very bad memory of what Verlinde's paper was about, looking at the abstract...), the above argument is wrong, I still think the Verlinde paper cannot be right. See for example, these articles by Lubos and this paper by Kobhakidze (whom I initially thought to be Verlinde himself).
Finally, to your question....
Ok, now what about your question? As I said, Verlinde's theory does not agree with even General Relativity, and it's probably not going to be quantised either, so it will never agree with string theory, most likely.
Also, if it were true that gravity didn't exist, apples would stop falling.