I moved out from my dad & stepmom house a few weeks after I turned 18. I live in apartment with my friend also I have full time job. While I'm under age (before turn 18) I live with them I'm mostly/always break they rule (cannot follow they rule) that's why my parents are upset to me and my stepmom do not get along to well with me. Recently I tell to my dad that I like to come back stay with them. Can my dad refuse me?

Once you reach the age of majority (18), you win all of the rights and reponsibilities of adulthood.  In other words, you get with good with the bad.  Your parents no longer have the right to tell you what to do, but they also no longer owe an obligation to support you.

There may be some exceptions to that rule.  For example, if you were severely disabled or mentally ill, and the court appointed a guardian or trustee to manage your affairs or care for you, then the situation might be different.  But that doesn't seem to be the case here.

The smartest thing you can do now is try to make responsible decisions on your own.  Find a job and place to live, continue your schooling if that is an option, and avoid trouble with the law.  If you show that you have learned to handle yourself independently, your relationship with your father might improve in time.