Brainchild the short answer is Yes. Anyone can sue anyone for anything. However according to TX Civil Practice & Remedies Code Link Removed if the shooting is ruled justified you are immune from any civil liability.
CIVIL PRACTICE & REMEDIES CODE
CHAPTER 83. USE OF DEADLY FORCE IN DEFENSE OF PERSON
§ 83.001. CIVIL IMMUNITY. A defendant who uses force or
deadly force that is justified under Chapter 9, Penal Code, is
immune from civil liability for personal injury or death that
results from the defendant's use of force or deadly force, as
applicable.
Added by Acts 1995, 74th Leg., ch. 235, § 2, eff. Sept. 1, 1995.
Amended by:
Acts 2007, 80th Leg., R.S., Ch. 1, § 4, eff. September 1,
2007.