This app was mentioned in 8 comments, with an average of 1.63 upvotes
I played a similar game on Android called Harvest Master (same idea, but more simple, link) It worked really well with a directional pad and 2 button setup. I really enjoyed it.
I think because there isn't any real movement-based puzzles or battles requiring dexterity, it doesn't matter too much that it isn't super precise.
I've read good things about Harvest Master: Farm Sim, but you may want to check some reviews first.
https://play.google.com/store/apps/details?id=com.RhinoGearz.Harvest_Master