Aggron can learn many moves, and if you asked this question a different way you might have had some idiot saying they don't know or he should learn splash, growl and some other crap.
Some really good moves for him to learn specifically would be iron tail, iron head, earthquake, double-edge, stone edge, giga impact, flash cannon, rock slide, and other steel, rock or ground moves. If you learn any combination of these moves your aggron will be amazing.
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Aggron can learn earthquake by using the TM on it.
Aggron learns double edge at the very high, taxing level of 63. Good luck
Although it is steel/rock type , it can learn surf. There is no reason why Aggron can learn surf or not. It is what the game creators decided.
Aggron doens't learn rock slide in this version
Yes it can.