Yes, you can! The easiest way would be through a Seel. You can breed iron tail on to Seel with a male iron tail Smeargle as a parent. There are other possible parents, but they would need to learn it through breeding themselves. You can see the possible other parents here. YOu will then have a male iron tail seel. It will then learn Aqua tail at level 43. Then you can breed it with your female minccino/cinccino to get an aqua tail and iron tail minccino.
In the future, try to use the egg moves page to check for yourself. This is Minccino's page: http://pokemondb.net/pokedex/minccino/egg
Yes you can. Teach either Seel, Dewgong, Buizel, and Floatzel Aqua Tail via level up and teach the Iron Tail via Tm in Gen 4.