Is it possible to use ducts with a window a/c unit?
Yes, you can add ductwork to a room air conditioner, but be careful, 1) not to restrict the “air volume”, 2) allow for friction loss, and 3) use fewest number of turns as possible. 

We use “duct silencers” to reduce the noise from fans in ductwork. See this:

https://www.acousticalsurfaces.com/hvac/duct_silen.htm

They are expensive, but you could make your own. The principle is that you want the air to go around a few baffles so the noise gets trapped in the acoustic panels inside the ductwork. 

Make sure you oversize the ductwork.