Yes, plenty of people have done exactly that, and it doesn't seem to have hurt them. Most schools treat the two tests as interchangeable now, and a GRE score doesn't usually raise an eyebrow.
But I don't think that's the question that actually helps you. What matters is whether switching makes sense in your case.
If you've put in real, structured work on the GMAT and the score still won't move, going to the GRE is a reasonable call. If you're a few frustrating weeks in, or you've heard the GRE is easier, it usually isn't. Whatever is keeping your GMAT score flat, whether that's how you've been studying or what you've been studying from, comes with you. New format, new question types, a few more months, same wall.
So be honest with yourself about two things. Have you worked through a full curriculum topic by topic, or mostly done practice sets and mocks? And when you miss a question, do you know why, or does it feel random? If either answer points the wrong way, that's a process problem, and you fix it where you are.
If you've truly done the work and you're still stuck, take a GRE diagnostic. Just compare it the right way. Points on the 205 to 805 scale and points on the 260 to 340 scale aren't the same thing, so ignore how close each score looks to its target. Look at where you land relative to other test takers on each exam. Clearly stronger on the GRE, switch. Not clearly stronger, stay put and go after your weak areas.
For reference, 705 and up is a strong benchmark for top-15 programs, and 715 and up is the range for the M7. Either test can get you there.
I hope this helps, and good luck deciding.
Saviooo
Did anyone get admitted in M7 after giving up on the GMAT?