Under Texas law you do not need an attorney to file for divorce. Anyone can go online and download the paperwork for less than $200.00 and handle the matter pro-se (literally "in one's own behalf", or without an attorney).
But the bigger question is not whether you can do it yourself, but whether its a good idea.
If you have:
1) no children
2) no property to divide, and most of all
3) a complete agreement between husband and wife, a $200.00 divorce may be the way to go.
Unfortunately, most couples have more complicated situations:
1) children - custody, visitation, child support, health insurance, primary residence.
2) property such as a house, car, money in the bank, retirement accounts.
Combine this with the stress of a spouse with bad intentions towards you and you have the makings of a bad situation.
The 2 of you could just go to IHOP and settle the divorce over a cup of coffee and a piece of pie. But we know how that will likely turnout