No only ultra models have support for it

S pen uses wacom digitizer under the screen to detect the S pen. if the device has the digitizer the s pen will work. the s22 does not have a digitizer so it will not work.

you can always use a touch capacitive stylus, which is a cheap stylus that essentially pretends to be your finger. not as accurate as an s pen but will give you some similar use to an s pen.

Only Notes, S21 Ultra, S22 Ultra, S23 Ultra and probably upcoming Ultra models support it. It’s a hardware thing.