Someone else can check my memory since I haven't dealt with it in a while. I think yes.
Huge caveat being that you don't get to "save as" on your current menu structure and just make whatever couple small changes you might want.
I believe you have to build the whole menu structure from scratch. Not just the single menu group you want to change, but the entire menu, all groups, all options. And I think that updates will often FUBAR your custom structure if you do want it badly enough to undertake such a fun endeavor. 🙂
You might not be able to do that with the standard menu structure even now that I think of it. The time I've dealt with that I believe was FAM, which has its own deal. Likely not worth it even if possible.