Please note that I am not a CA attorney, but in most states, the answer is yes, the attorney can be named as trustee. In fact, this is not a terribly uncommon arrangement, though my personal stance is that I never accept appointment as a trustee unless the person is family or has no other options. Generally, I would prefer to name a bank or trust company as successor trustee, but I have reviewed many trust agreements where the drafting attorney is named as a successor.
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As a VA attorney, I am unable to speak specifically to CA law. However, in VA, a drafting attorney can be named as a successor trustee in the trust instrument. Although, our State Bar requires such a drafting attorney to make certain disclosures to the client client, such as: 1) the client is not obligated to name the attorney as successor trustee, 2) there are other professional trustee options available (trust company, bank, CPA, another attorney), and 3) a current example of the attorney's typical fee schedule for such service.