It is true that you cannot claim your son as a qualifying child dependent, if he has reached the age of 24 and is not permanently disabled, so your friend is right about that.
However, it sounds like you may be able to claim him as a qualifying relative dependent and if that is the case, you may indeed be eligible for the Lifetime Learning Credit which says, "The eligible student is you, your spouse, or a dependent on your tax return." It does not specify which type of dependent.
Here is a TurboTax Help article with a quick checklist to double check if he is a qualifying relative. Qualifying Dependents
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