The Switch Lite still has the same functionality as the regular Nintendo Switch when it comes to wireless controllers. You can connect any pair of Joy-cons or any Nintendo Switch wireless controller to the Switch Lite. It's the only way to experience the HD Rumble or motion controls while playing the Switch Lite.
Can you Bluetooth a controller to a Switch Lite?
That said, the Switch Lite does support Bluetooth controllers, meaning you can prop the portable console up and use it as a screen while you sit back with a pair of gamepads and duke it out with a friend – why you would want to do this instead of buying an original Nintendo Switch is beyond us, but at least the option ...
Can I connect my ps4 controller to my Switch Lite?
Connect the DualShock 4 controller to the Switch via pressing the PS button and Share button until its light keeps blinking white. ... To do this on a Nintendo Switch Lite, you'll need a USB C to USB dongle to plug the Bluetooth adapter directly into the Switch.