Is it normal to not have close friends?

Hello, I wanted to see what others thought of my situation, the thing is i don't have any close friends literally. There are a few people i talk to every now and again but no one i ever hang out with. In highschool i was never allowed to have friends, i couldn't go out or join any clubs or sports, mostly because my step-mom never let me because she always supposedly needed me around the house. Everyday it was like i go to school, come home, do homework, eat, and help clean. I sucks, because now i'm 19 and in college and i feel like everyone already has their groups of friends and i have no one. When i try getting close to those that i still talk to every now and again theres never any time because they always have their own things to do. I no some may say it's not normal, but i honsestly feel it's not my fault because i was never given the chance to form frienships because of my step-mom. I am generally a sweet, gullable person who likes to have fun and help out others in need. The only person i sometimes hang out with is my little half sister but even she has her own friends she hangs out with. I have had a few guy friends i've gone out with but they always want to be more than friends which i'm not looking for right now. I just want some friends, no relationships or anything since i'm trying to focus on school. Let me know what you think, because i'm just curious.