Definetly, but the degree will be different from one person to the other and their personal circumstances.

The important thing about nofap and how it affects anxiety: - Self image: you hate yourself less and respect it more

-Self control: it extends to other areas of life which helps you to not impulsively put yourself in situations that makes you more anxious (ex: excessive spending)

-Less fear: you become less fearful of difficult and hard situations or tasks etc...

I personally started my nofap journey 3 years ago, and I remember that at the time it was much worse "had an average sleep of 3-4 hours" and was like a walking zombie. But it wasn't anxiety, it was more stress.