
Sure, and this is based on the limited information I was able to find on news reports so correct me if I am getting anything wrong. Texas law would protect this both under the "prevention of forcible felony" and plain "stand your ground" self defense, as multiple men going to steal your car right in front of you is a reasonable expectation of imminent fear for your life in its own right in the eyes of the Texas legal system, and qualifies as a forcible felony (robbery) if you feared for life.
Furthermore it would be protected in the third legal means of defense of property, assuming it happens during night time, even if you did not imminently fear for your life. Specifically you would have to believe that the property could not otherwise be protected or recovered, and that less lethal force/deterrence would expose you to a risk of death or serious bodily injury.
I can’t find anything about the “prevention of forcible felony”, but that might be a misinterpretation by the news reporters of the Texas penal code including aggravated robbery as a reasonable justification for deadly force as a means of self defense. so as far as I’m aware, Texas’s self defense is covered under its penal code, section 9.31; where it does like other states require reasonable force (so for example, you can’t just shoot for any reason if you feel threatened), but unlike other
states it does not require you to retreat prior to using force to defend yourself (which is where the phrase “stand your ground” comes from, it’s a nickname basically). however though, Texas penal code section 9.31 (self-defense) does lay out specific scenarios where force is justified, for example sec9.31(c) states “was committing or attempting to commit aggravated kidnapping, murder, sexual assault, aggravated sexual assault, robbery, or aggravated robbery;”
if I’m not mistaken, the example laid out in the picture in your post would be covered under that subsection (c), specifically the inclusion of robbery and aggravated robbery? this could be where the “prevention of forcible felony” comes from though, as some felonies are inherently justification for using force in self defense according to Texas’s penal code; but not all.
9.32(a)(2)(b) has a similar declaration of explicit laws similar to 9.31(a)(1)(c) (my earlier correction was also incorrect oh my god) however 9.32(b)(1) explicitly references the persons vehicle, habitation, etc; both of which focusing on the vehicle, habitation, etc, being occupied. (b.1.a focused on occupation, b.1.b focused on forced removal from (so still occupation, but specifically being removed from))