Yes. While Texas has a strict cap on the income and assets you can have and still be eligible for Medicaid, the state does allow an exclusion for your personal residence—if the residence is also located in Texas and the applicant intends to return to the home if they are able to do so. The applicant can also qualify for Medicaid by transferring the home to a spouse.
It should be noted that if you transfer ownership of your home to someone other than your spouse, there may be a period of time in which you are not eligible for Medicaid. This is known as the penalty period. This penalty period can be avoided if the home is transferred via a revocable transfer on death deed (TODD) or a lady bird deed in Texas.