No, the 2019 1099-Q won't be adjusted nor re-issued.
You can recontribute the refunded amount.
You can still claim the room and board expense towards the distribution, or report that the amount was rolled back into the account.
According to the IRS:
"If a student receives a refund of qualified education expenses that were treated as paid by a QTP distribution, the student can recontribute these amounts into any QTP for which they are the beneficiary within 60 days after the date of the refund to avoid the need to figure the taxable part of the QTP distribution."
"Refunds received after 2019 but before your income tax return is filed. If anyone receives a refund after 2019 of qualified education expenses paid on behalf of a student in 2019 and the refund is paid before you file an income tax return for 2019, the amount of qualified education expenses for 2019 is reduced by the amount of the refund."
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