Yes. Here called an air (and heat) exchanger. Becoming common and have been mandatory in highly insulated homes which are in accordance with R2000 for past ten or fifteen years or more.
For example a relative has just bought a 17 year old house that has an air exchanger but we have noted it is NOT a heat recovery type. It may only be an exhaust system but house also has bathroom and kitchen exhaust fans; so?
AIUI the heat recovery type has several ducts (presumably at least one on each floor?) to pick and exhaust stale air and that goes 'out' through one side of the 'Air exchanger' unit. Warming the incoming air on the other side of the unit Heat recoveries of up to 80% are claimed, but personally I doubt it and under what conditions? Also a set of ducts goes to each room or area to introduce the slightly warmed fresh air.
Will see if I can find some links (probably North American though) and post them here. Should be well established technology! The maintenance supervisor of a local school here was installing such items as a sideline business some ten-twenty years ago!