It depends on the course material. My CPS prof has done a lot of research on social welfare systems in Latin America, and while I'm more interested in Europe, I did have a good conversation with him about welfare states and their development. I know a lot of people who've had great relationships with their profs because they share similar interests. My deepest connection with a prof is probably with my proseminar. Every freshman takes a prosem, which is around 15 people, and ours was on media, technology, and politics, which I found really interesting. She's already written me a recommendation letter, and I plan on taking another class of hers next year. It's definitely possible to form close relationships, especially if you're interested in the material, just by going to office hours and chatting with them.
@tmn2000 SFS class of 2021 here. The reason why social life often revolves around club culture is because there's no university-recognized greek life, unlike some other schools where social life is heavily Greek-based. Although greek life does exist, they don't get university funding and so they aren't a main part of campus social life. Because of that, clubs tend to fill in that void and provide more of the social life than you would see at other schools. Some clubs are very competitive to get into, but those are usually professionally-oriented career clubs like consulting agencies and the Georgetown credit union. Because those clubs provide a lot of career experience, they have a low acceptance rate. And while those clubs do provide a social scene for their members, there are tons of clubs here that are not competitive to get in at all that provide the same thing. As an SFS student, I'm heavily involved in the International Relations Club, which has no application to get in and offers events to everyone. So it really depends on which clubs you're talking about. If you're looking at the more career-based ones, then yes it is much more competitive and cliquey, but there are also tons of clubs that offer great opportunities without being cliquey.
@tmn2000 You can also call the admissions office after about two weeks and explain that you're out of country. Georgetown only sends mailed decisions but the admissions office has been known to tell people over the phone if there are extenuating circumstances.
Your standardized test scores puts you in the competitive range for Georgetown, and your languages are VERY impressive. For an application to SFS, that definitely makes you stand out. What level of proficiency are you at with these languages? That's probably your brightest spot on your app. Personally, I think that compensates for not having as much of an IR focus EC wise, since your language passion means that you're still passionate about IR. Overall, I think you have a strong chance, especially with all those languages.