Here goes with some wild imagination…
Could there be springs at the back of the drawers so pushing in the drawer and then releasing would have the effect of pushing the drawer out enough to then use the sides of the drawer to pull it out?
Maybe rare earth magnets imbedded in the front of the drawer and then a single handle to attach to the magnet to pull out a drawer.
Motorized remote control?
jtk
"A pessimist sees the difficulty in every opportunity; an optimist sees the opportunity in every difficulty."
- Sir Winston Churchill (1874-1965)