Can I get American Opportunity Credit if Im working on Degree and in a program?

Possibly.  If you are working on a Bachelors degree, Associates Degree or other recognized Certificate and have not yet completed your first four years of higher education then you may be able to claim the American Opportunity Credit.  If you are working on a Masters Degree, then probably not, as that would generally be your 5th year of school so you may then be eligible for the Lifetime Learning Credit. 

To find out if you have claimed the credit in the past, you would just need to look at previous years tax returns to see if form 8863 is included. You would also see it on line 29 of your form 1040 from past years. If your parents claimed you while you were in school, then you would have to ask them if they claimed the credit for you. 

Also, if your parents still claim you on their return, then you cannot claim the credit. You also would not be able to claim the credit if you are married filing separately. 

The American Opportunity Credit is also only partially refundable.  The total credit is worth up to $2,500.  However, if you have little or no tax liability, the credit will reduce your tax liability to $0, then if you had less than $2,500 in tax liability you can claim up to $1,000 of the total credit as a refundable credit.  But, you will not get a refund of the full $2,500.