We should definitely add an accessibility option to pick up and put down separately with left click to accommodate trackpads etc. so thanks for bringing it up.
I know that with my laptop you can still drag using the trackpad by doing an action along the lines of tap trackpad (move finger off of trackpad for a split second)-> tap again (leave finger on trackpad this time) -> drag finger
I dont know if this double-tap-drag works for all trackpads though.