According to The Office it's a big yes.

Totally fine in my opinion. It only becomes tricky when they/you are a superior. 

I used to work with my ex. It was bad and annoying. I would see him at school, work, then after work. It was too much. It didn't work for me and I don't think I would want to work with my boyfriend now. I like my time and getting home to him.

I met my first boyfriend at my first job. It was literally the shittiest job ever = bad management. But I am thankful that I worked there because I never would have met him. I'm 18 right now and we're still dating and we've been together 10 months ❤️