Does anyone know if there are remote internships for students?

Is there a place that lists them in a single site?

You can search Angellist for remote and internships I think.

I'm not sure about a site dedicated to this, but as @aviaryan mentioned you can search on regular job boards and use the right filters.

For example, @levelsio's has a section dedicated to only remote internship jobs.

Having said that, I would advise against doing a remote internship. The beauty of an internship is that you get a chance to work with more experienced people and see what it's like to work at a company. I think by doing this remotely you lose out on much of that.