Yes of course, the AM882 is probably overkill. But something like the CW5045 from CNC4YOU should work just as good.
http://www.cnc4you.co.uk/Stepper-Mot...tepping-CW5045
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Until you have an idea of whether a pretty much maxed out NEMA17 at around 1.7amps/0.44Nm will work for your application or move up to NEMA23 it's difficult to recommend a drive. If you go for something like the CW5045 you will at least have a little scope on the motor choice. If the NEMA17 will suit, running them from a gShield on the UNO should be more than adequate.