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Yes. However, note that this may lead to some issues:

1) You are supposed to only have one state ID. So if you get a CA ID, you have to turn in your TX ID, and vice versa. This may create logistical problems since TX at least requires you to have a TX ID if you LIVE in TX.

2) You get an ID where you live. Technically, you can tell CA that you live 6+ months out of the year in CA and get a CA ID, but also claim to be a resident of TX for tax purposes. However, do not be surprised if you are audited because the discrepancy between begin a TX resident but having a CA ID may have IRS raise a red flag.

So it is doable, but not advisable.

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