If they are cheap tires from a long established US, European or Japanese brand? Sure. Firestone, Bridgestone, Cooper, Goodyear, Continental, Toyo, Pirelli, Nokian, Michelin, BFGoodrich, Uniroyal, Yokohama are all ones I would consider.

If they are from a company you've never heard of, in particular from Asia, then no. The issue isn't so much that it's automatically inferior. It's that if there's a massive problem it on the US distributor to fix it. Most of the lesser known brands have small distributors in the US that lack the financial reserves to stand behind the products. Or, if they did cause death or serious injury there may not be anyone for you to sue.