Yes!
I had many Day 1s. And still, that is a hell of a lot better than not having any.
So I would also offer, don't be discouraged if you have to start again. Some of us on here have had to have quite a few before it finally "stuck." (And I realize that there are no absolutes, and I am only one drink away from losing everything.)
Never think a relapse means you can't lick this. It takes courage and tenacity to keep at it, and that is a very good thing indeed.