I used to feel like this in ,my 30s when I lived in London. I found living in London particularly, the pressure to DO something, be somewhere, with some people is quite high.
I used to go weekends without talking to a soul. sometimes it bothered me, a lot. Sometimes not.
That was then.
What I didn't know then was that I would go on to live an existence in a flat in a city thousands of miles away from everyone I knew, not allowed to go out, or to look out of the window. My longest stint indoors was 10 solid weeks, with only a tiny baby for company. No telly, no phone/internet/email, only a crappy 'P' that would come home late of an evening and make life miserable.
3 years later I got out.
I am now home, free, and well shot of Mr CrappyP. I'm happy. 
OP. You are young, you are single, free and can get out and about IF you choose.
If you choose not to, that is OK too. This is your life. YOURS. There is nothing wrong with not talking to a soul, if that is what suits you.
Clearly, on a day like today, it doesn't. But the choice is there, the choice is yours. If your life bothers you, DO something about it. You really ARE worth that investment in you.