Nope.
The minor is the sole owner of the funds, but has no transaction authority on the account.
The custodian, although not the owner of the funds, is the ONLY person allowed to trasact business on the account during the minority of the child. The bank's contract is with the custodian.
You can have a successor custodian named by the custodian.
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My opinion only. Not legal advice.
Say you'll haunt me - Stone Sour