Can my home (in Texas) be foreclosed if I don’t pay my property taxes?

The short answer is yes.  In Texas, ad valorem  (property) tax liens are both constitutional and statutory.  Further, they are given an automatic priority over the mortgage companies lien.  On January 1 each and every year a tax lien automatically attaches to your property.  Further, if any taxes are delinquent on your property when you sell it, all the delinquent taxes must be paid in order to convey free and clear title.  If a foreclosure occurs, the taxes are still due and payable at the end of each calendar year, regardless of who then owns the property.  All suits to collect property taxes must be filed within 20 years after the taxes become delinquent.

In short, property taxes must be paid.