Can you hold eastern painted turtles?

NO. The eastern Box turtle is a land turtle and the painted turtle is aquatic. If you had a habitat large enough that could accommodate a land area, a shallow water area and a deep water area it would be ok to house them together. The painted turtle would spend most of its time in the deeper water only coming on to land to bask, and the box turtle will spend the majority of its time on the land. They are not harmful to each other