Urriak Uruk
Gaming is fun, and fun is for everyone
Definitely. There can't be more than around two dozen 'random' encounters in the entirety of The Hobbit and The Lord of the Rings combined. By the rules in the 1e DMG pg 47 there can be as many as six in one day in the wilderness, though one every 1-3 days is more likely. (1 in 10 chance, checked 2-6 times per day depending on terrain).
Yeah, I think in the Hobbit when they go in Mirkwood (which I think is stated as the most dangerous forest in the world), they only run into the spiders? There are other effects I think like the sleepiness and things, but I believe the spiders is the only "monsters" they meet there.
That sounds pretty easy compared to going through a Greyhawk forest.