Nope. Not any kind of an A7. It's just a straight A chord (A major).

The notes you have, from bottom to top, are open E, open A, then, another E (4th string, 2nd fret), another A (3rd string, 2nd fret), a C# (2nd string, 2nd fret) and yet another A (1st string, 5th fret).

The triad (three notes) that define an A major chord are A, C#, and E. You can repeat those same three notes till hell freezes over and it's still an A major chord. Nuthin' fancier than that. And you can take any combination of A, C#, and E and put it anyplace on the fingerboard, and it's still an A major chord.

An A7 consists of A, C#, E, and G (four notes). With that general configuration, you'd find the G on the 1st string, 3rd fret.