Anyone can press e for a weapon if one player is in an area?

I think you would need to add a check to see if the player that is in the zone is the local player

local uis = game:GetService("UserInputService")
local inArea = false
local keyPressed = false--debounce
local player = game.Players.LocalPlayer 
workspace.LootBox1.AREA.Touched:Connect(function(player)
	if player.Name == game.Players.LocalPlayer.Name then
 inArea = true
    print("entered")
    workspace.LootBox1.Part.BillboardGui.Enabled = true

     uis.InputBegan:Connect(function(input) 
       if input.UserInputType.Name == "Keyboard" and input.KeyCode.Name == "E" and inArea == true and keyPressed == false then
        keyPressed = true
        print("THIS WORKS IF PRINTED")
wait()
game.ReplicatedStorage.CloneTool:FireServer(player)
wait()
keyPressed = false
    end
    end)
	end
    end)

        workspace.LootBox1.AREA.TouchEnded:Connect(function(player)
			if player.Name == game.Players.LocalPlayer.Name then
            workspace.LootBox1.Part.BillboardGui.Enabled = false
            inArea = false
            print("left")
			end
        end)

I'm not 100% sure about this but it's worth a try