Yes. Once you have Mutual Fund trading permissions you can trade Mutual Funds in IBKR Mobile.
Can I place a Mutual Fund order in IBKR Mobile?
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Can I buy bonds or mutual funds in my IRA account?
Can I trade Canadian mutual funds?
Can I place a Trailing Stop order in IBKR Mobile?
Will I be able to use IBKR Mobile with an IBKR Lite account?