Yes, there are income limits for claiming an education credit. To claim the full credit, your modified adjusted gross income (MAGI) must be $80,000 or less for single filers or $160,000 or less for married filing jointly. The phaseout range is $80,000 to 90,000 ($160,000 to 180,000 Married filing jointly).
For the Lifetime Learning Credit, that limit is for 2021 only. It will be less in 2022 and was less before 2021.