No - you'll have to review your prior year return to see if you claimed the credit.
The American Opportunity Credit (formerly the Hope Credit) provides up to $2,500 for each eligible student per year. It can be claimed for the first four years of higher education.
If you had claimed any amount of this credit in previous years, you'll see how much at the bottom of Form 8863, Page 2.
If you used a TurboTax Online account to file a prior or current year return, you can download the return from yourTax Timeline.
Sign in and load My Tax Timeline (click image below for reference)
Select the year you wish to access, then Download/Print Return (PDF)
Once you've opened the PDF, scan the document until you find Form 8863. If it isn't there, you didn't claim any education credits for that tax year.
NOTE: If any CD/Download version of TurboTax was used to file, the information prepared is only stored in your personal files. You may request an exact copy of your return from the IRS for a fee. You can also request a tax return transcript at no charge. For either, see here: https://ttlc.intuit.com/questions/1901218-can-i-get-a-copy-of-my-tax-return-from-the-irs
Click the images below for reference.