That would be a bad idea for two reasons: 1) The police are extremely busy and are not the best resource for dealing with non-violent family disputes. 2) If you get the police involved, your stepdad will be furious and may never trust you again. He may think it’s unsafe for him to live in the same home as you, fearing you may get him in trouble with the law.
Your mom is responsible for protecting you from such verbal abuse. She should be your advocate. Make certain that she’s aware of how much the name calling is distressing you and ask her to intervene. However, she may be too scared, too weak, or too financially dependent on her husband. Therefore, she may be hesitant to speak up and end it.
The best plan is to get all of you--your mom, stepdad, any siblings, and you--into family therapy (online or in person). The name calling is a symptom of a larger dysfunction in your home. You need professional help to unravel the problems, talk about them, and find solutions.
For this to happen, you need to confide in a trusted adult about your home situation. That person can direct you to resources in your community. If your mom isn’t being proactive, speak with a school counselor or nurse, a grandparent, an aunt, an uncle, a teacher, or a neighbor. Please know that there is help out there and people do care.