I run MCPE on my Galaxy S7 Edge(SM-G935F), and when using the default PE UI, moving items from inventory to chests doesn't work. I can move items one at a time, but not whole stacks. I've tested this on my phone and an iPhone 5, 5c, 6, and 10(owned by friends of mine). The issue is present in all versions so I'm assuming it's a bug in the mainframe of MCPE, not OS specific derivatives.