No, but the swearing is immaterial. That apology isn’t, so let’s break down the likely interpretation a bit.

I didn’t want to insult you and if you felt so, I apologize.

This is probably the most egregious part, since ‘I’m sorry you felt offended’ isn’t actually an apology, it just sounds like one. You’re not actually apologising for anything you did.

No matter what it is you might have wanted or intended, the fact of the matter is that you did offend your coworker with your swearing.

The word fuck is one I use very often, but I’ll try to control myself around you’

This part is fine-ish? I’d leave off the “around you”, since it’s extraneous. They don’t need to know that you’re deliberately taking exception around them.

I apologize. The word fuck is one I’m used to using, but I’ll try to avoid using it.

Seems a better way of putting it. You made the error, you apologised, clean and cut. No need for unnecessary explanation that could be taken as excuse, or unnecessary exceptions that may taint your intended message.

Maybe accompany it with an apology muffin or something.