Ah, my mom was the same way. As a child she would tell me how I don't need anyone else outside of my family - I quote in vivid memory, "What are friends good for? You don't need any" in advising me how I shouldn't trust people. Both of my parents are overprotective and have immense paranoia. While I understand that they have good intentions, their parental style I think messed me up big time. (I wonder if I should talk to a therapist about it..)
Are you currently in college? Do you live with your family? I urge you to socialize, for many reasons ranging from how it'll help you develop soft skills that are necessary in many professions to learning how to maintain healthy relationships to keeping your mental sanity because humans are in the end social creatures! What would your mom do if you were to make friends - would she punish you or something?
Some suggestions:
It's a tough situation to be in, I understand where you're coming from. I hope things improve and work out for you.