Unfortunately, it must be the same year.
Coordination With American Opportunity and Lifetime Learning Credits
The American opportunity or lifetime learning credit can be claimed in the same year the beneficiary takes a tax-free distribution from a Coverdell ESA, as long as the same expenses aren't used for both benefits. This means the beneficiary must reduce qualified higher education expenses by tax-free educational assistance, and then further reduce them by any expenses taken into account in determining an American opportunity or lifetime learning credit.
Education Credit source
