Can yellow belly siliders live with box turtles?

No. Box turtles are complete land turtles and spend most of their time on land or soaking in a shallow water dish. Yellow Belly Sliders need a pond or large aquarium with a basking spot and UVB bulb. The two turtles housing needs are completely different and should not be mixed, So, the answer to your question is, No. Yellow Bellied Sliders and Box Turtles can NOT be housed together.