There is one, or maybe 2, POI that have the chance for dire wolves. Once you've found one, you'll know in the future to avoid those if you can't handle them. One is the "Beware of Dogs" POI, which clearly warns you. There might be one more, but I can't remember for sure. No other low tier POI have them.
They can (rarely) appear at night in the early game and will appear in the wasteland and enemies can move across biome boundaries, so if you're close to the wasteland biome, you're going to get a chance of them wandering over to where you're at. But it's very rare for them to appear if you're nowhere near the wasteland and you avoid the one or two POI that have them until you're further into the game. Personally, I like the "Ah!!" moment when I have to run if I can't deal with them yet. But there's no reason they can't have an option. They already have options for zombie tiers after all.