Is there a way to move all of certain item from a chest to inventory (or vice versa) in Bedrock edition?

You can do alt + double left click, if there is are items of the same block or item scattered around a chest or inventory, and they are stackable, it'll take those and put it up to a stack so you can move it. It also works if the same item is in both your inventory and chest to form up to a stack.

If you are playing on a controller, you can just press 'Y' to send all the items you are hovering over to your inventory/chest. If the items are all scattered, you can press 'A' two times on an item that you are hovering over, and then press 'Y'. Pressing 'A' twice takes all the items from a chest and inventory and puts it into one stack.