No, you would need to amend your 2023 tax return to add it to that return. Only enter a 2024 Tuition Statement, 1098-T on this year's return.
No, you cannot put 2023 tax documents on a 2024 tax return. You can amend 2023 if you want to enter the 1098T.
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-return/amend-change-correct-return-already-filed/L4VjJ9BA2_US_en_US?uid=m76mq6z2
Do not expect quick results from amending. It can take four months or more for the IRS to process an amended return.
You can watch for information here:
https://www.irs.gov/Filing/Individuals/Amended-Returns-(Form-1040-X)/Wheres-My-Amended-Return-1