No, although that's a thing too.

People with more money have access to birth control and various entertainment options.

There's a lot of people in Texas with a lot of money and they sure as hell don't have easy access to birth control. The state's seemingly doing everything it can to obliterate it. The teenage pregnancy rates in some parts of Texas are similar to developing countries.

You cannot buy condoms in Texas?

You wouldn't buy them unless you thought you needed them, or weren't already told blatant falsehoods about them. The level of medical disinforation in some states is truly staggering, especially those with abstinance-only policies like Texas.