Anything is possible but this strikes me as unlikely.
An intern is expected to have a rather steep learning curve. The intern has to learn about the company, the business, the company's systems and processes, plus whatever project(s) you hope the intern can work on, etc. It is hard enough to come up with a project that an intern can come in for 3 months and make reasonable progress on if they are working full time. Part time is going to mean that it will take much more time to come up to speed and will drastically reduce what the intern might accomplish. Plus, if you are planning to freelance on the side and to visit a boyfriend, the company is realistically going to worry about where your priorities will be, how you'll juggle competing deadlines, etc. Companies generally don't like regular employees to moonlight, they're going to be even less enthusiastic about interns doing so.
December through February is a rather poor time to have an intern. Lots of people are going to be out of the office for significant parts of December and January for the holidays. That makes scheduling much harder and further reduces what an intern might accomplish.
Getting work visas is a lot of work for the company. Doing that work in order to get, say, 12 20 hour weeks of work from an intern or 240 total hours (less if you plan on taking time off for Christmas or New Year) would grossly inefficient. You'd spend a tremendous amount of time for management and HR to complete the paperwork for a relatively minor return.
Finally, companies run good internship programs not just because they hope that the interns will do something useful but because it's a way of recruiting. Hiring an intern that doesn't even live in the country would be an issue. Companies that run internships are also going to structure their programs around the schedules of local universities so they can get a number of interns at the same time and save costs by doing things like holding a "Welcome to Acme" class for 30 interns rather than 1. Your summer break probably doesn't line up well with the host country's university system so you'd likely be asking them to have a single intern and get none of the cost savings of having intern classes.