In most cases, a business partner can’t push you out. But there are ways that a business partner might encourage you to leave or buy you out of the business. It depends on the law that applies to the situation and the agreements in place.
For example, your business partner can seek to enforce a valid buyout agreement. Or they can seek to expel you from the business if they believe you are violating the law or the terms of the partnership or operating agreement. If they are a majority interest holder (or have the backing of the majority interest holders), they might vote to remove you from the business.
If the business is an LLC, it may be more difficult for the business partner to push you out than, say, a corporation.