Yes, you have the right to fire your injury lawyer at any time.
However, it is important to keep in mind that terminating a lawyer in the middle of a case can have significant consequences. It may cause a delay in your case, and it may also result in additional expenses, such as the cost of hiring a new lawyer. Furthermore, if you have a contingency fee agreement with your lawyer, you will likely be responsible for paying the lawyer a portion of the fee that was agreed upon in the contract.
If you decide to fire your lawyer, you should do so in writing and provide a copy of the letter to the lawyer and the court. Also, it's a good idea to discuss with the lawyer the reason why you want to terminate the agreement and check if there's any potential issues that could arise before doing so.