Is there a way to make biomes only spawn outside of a certain radius of spawnpoint?

I'd say just add a generation condition that requires the x or z value be greater or less than the boundaries of your radius; but I don't think it's possible to add generation conditions to biomes. (Structures, yes. Biomes? Not sure.) The best alternative I can think of is to just make the biome rare enough that it's unlikely to generate in spawn.