Yes, you can 3D print with wood, and your room will smell like roasted pine while you do it. In February 2021 I tested AzureFilm's Pine Wood PLA, which the company says contains 40% recycled wood. It's tricky, but a lot of fun.
Prepare your printer first
Wood PLA needs some extra care. AzureFilm suggests at least a 0.6 mm nozzle, and I went one step further and fitted a stainless steel one. The wood particles can slowly wear down a brass nozzle, so stainless is my suggestion. With that set-up I had no clogs at all.
It prints a bit cooler than normal PLA and tends to shrink a lot. You also can't push retraction too high, or you risk a clog. There's a very fine balance between your settings and a perfect print.
My settings and best prints
My best result came at 197 °C, a very slow 30 mm/s and standard retraction. With those, a MatterHackers tabletop model came out looking amazing. The CaliCat was good too, apart from a little stringing on the tail, nothing you can't fix afterwards.
The biggest problem was bed adhesion. Even on a heated bed, prints kept detaching. A turtle let go almost three hours in with one hour to go, leaving me a nice plate of spaghetti. I reprinted it and it came out fine. Since I only had a 300 g sample, I started printing a raft under everything, and that solved it.
A vase in vase mode (0.8 extrusion width on the 0.6 nozzle) came out really nice and still smells great. Some barrels had a lot of stringing that I cleaned with a heat gun, but sanded and painted they'll look real. A nine-hour overnight print was a lovely surprise in the morning. The only sad moment: I miscalculated how much filament was left and ran out halfway through a beautiful decorated ball. Oh, and a tree I printed fell on the floor as soon as I took it off the bed and lost a piece.
It really looks (and smells) like wood
There's definitely wood in this PLA. It looks like wood, it feels like wood, and it smells like wood, unlike normal PLA where 90% of the time you smell nothing. You'd buy it for tabletop and ornamental pieces, and you have to accept wasting a bit of filament while you dial it in.