charge 2 laptops via 1 docking station, possible?

[RazorForce]

Can i charge and supply power for 2 laptops via the same docking station? If yes, which one is best to use.

Private Laptop: Spectre x360 - 15-bl131ng

Work Laoptop: EliteBook 840 G8 Notebook PC

[banhien]

@RazorForce 

What is your docking station ? You mean at the same time ?

Regards.

[RazorForce]

Hello Banhien, Thank you for your reply.

I dont have a docking station yet, i intend to buy one, i do not know which one would be adequat to my needs if any. As an example: HP USB-C- (G2 or G4 or G5 ) /similar Docking station 

Background:

A Laptop can't be turned on or off (with it's own power button) if lid is closed.

A docking station can turn on and off a laptop if lid is closed. Since a docking station provides the laptop with power and also screen sharing abilities.

My Setup comprises of:

2x laptops

1x keyboard, 1x mouse and 1xmonitor

1x KVM switch that i use to switch (keyboard, video and mouse) between both laptops if both are turned on)

If one laptop is switched off, i have to open the lid, click the power button and close the lid. A docking station can help saving time with the previous steps by clicking the station's power button, even if laptop lid is closed. 

An initial thought is to buy 1x docking station for each laptop to achieve my goals. But this would hurt my pocket a bit. So i was wondering if i can get a 1x docking station for both laptops?