yea you can put a 20r head on a 22r block and gain some compresion.
but there is a trade off , the 20 r head has smaller valves. so what we used to
do is get our machine shop to put 22r valves in a 20r head then we would
port and polish,and gasket match the combustin chamber.
gave us about 1 point more compresion.
back in the late 70s early 80s the wife and i autocrossed a 78 celica.
with much success i might add.
by the way spell check didnt help.