Absolutely! Case in point: Alolan vulpix and sandshrew. The key is creating a comfortable atmosphere for them to spend a lot of their time in. A cool home with plenty of air flow (fans are sufficient if air conditioning isn’t feasible for you) will be enough, and be sure they have access to plentiful sources of cold water for hydration. Be aware of their health as well and never force them to train under hot sunlight if you can.
There are, of course, a few pokémon who are literally made of ice, such as vanillite, bergmite, and so forth, and these cases may be more sensitive to cold than mammalian ice-types such as snorunt, spheal, and Alolan vulpix. However, even these are trainable even in tropical climates, so long as their trainers keep an eye on their conditions. If your literal ice pokémon looks lethargic and wet, bring it into a cool place immediately and allow it to rest within a refrigerator or cold bath. (Granted, it should also be noted that literal ice pokémon are harder to come by in tropical regions to begin with, but the point is that if you happened to receive one in a trade or from a breeder, it’s still possible to raise them so long as you’re careful.)
The Pokédex According to Bill 