Yes, you could make money recycling wooden pallets, and make a nice part-time, or full-time business out of it! About the only thing you would need to start this is a pickup truck or bigger truck, or a trailer towed behind a car to start.
Wooden pallets are a big business! Most big companies ship their products out on trucks, using wooden pallets to hold everything. Wooden pallets cost money because wood is not free, and sooner or later, most pallets meet their fate and end up as sawdust, or in a fire somewhere.
There are companies all over, that buy and sell pallets. The company might have a crew of guys that make pallets out of brand new wood.
Some companies that have thousands of dollars worth of merchandise, do not mind the added few dollars, for brand new shiny pallets! Other companies want things as cheap as they can get them! I know this from experience! When I used to own two retail stores,
Other companies don't hassle their customers to much about pallets, especially if they just sold them thousands of dollars worth of goods! These are the companies that usually need to buy pallets from pallet companies.