The simple answer is, yes. You can fire your lawyer, however you cannot fire them without "good cause". You must be able to prove, in writing, that your lawyer is not doing what they are supposed to be doing in your case.
Most lawyers, particularly in personal injury cases, are hired on what is known as a contingency fee basis. This means that they will be paid a percentage of whatever money you recover in your case. If you fire your lawyer without "good cause" they may still be able to recover their fee, in which case you may end up paying two lawyers out of your settlement.
You can watch this video to understand more about what "good cause" is.
If you are not sure if you can fire your lawyer, you can contact our office and we will review your case free of charge and help you understand what your best possible solution is. Call our office at 877-224-7800 and one of our Houston injury attorneys will be happy to assist you.