There is a group gift thing that is happening and I don't want to be a part of it.
For what reason do you not want to be a part of the group gift?
I want to give a gift on my own.
That's totally fine, just let the group know.
I don't think it's a terrible idea.
While group gifts can be easy, they lack personalization and if you want to give one on your own, then that's wonderful. Tell the group what you're doing and they'll understand.