Yes you can.
This is not legal advice. You should always discuss the specifics of your issue in person with an attorney. Be aware that there are time limits on all claims that depend on the kind of claim, so do not delay in seeking an attorney.
Yes, you can sue the towing company. The Texas constitution guarantees all citizens free access to our courts. This means that anyone can sue anyone, at any time, anywhere, for any reason, for any amount of money and without first proving anything to anyone. However, filing a lawsuit and winning one are two entirely different things. Winning a lawsuit and actually recovering some money are also two entirely different things.
I suggest that you carefully preserve any and all documentary, photographic and other evidence you can gather about the stolen items and their value and promptly consult a Houston plaintiffs' lawyer who is certified in Consumer and Commercial Law by the Texas Board of Legal Specialization. A link to the Board's website appears below.
Absolutely you can.
No answer given by Armstrong the Law Firm or its lawyers on the internet shall be deemed to create an attorney client relationship. Answers give are general guidelines only, and should not be relied upon by the questioner as a basis for action. Rather, the questioner is urged to consult a qualified attorney in his own jurisdiction.