I don't think a coworker likes me.
Why don't you think a coworker likes you?
I don't think it matters much.
Not all people get along well with each other and that's okay. Have you asked your coworker if you did something to offend them? Maybe it can help clear the air.
I just want to connect with them.
If you want to get along with your coworker more then it sounds like you need to sit down and talk with them.