Absolutely not.
Lilies, which are very common houseplants, particularly in the spring when people are likely to bring them in for Easter, are one of the most toxic plants for cats, with minimal ingestion (i.e. licking a bit of pollen off their fur) required for lily poisoning, and a fatality rate of 50-100%. With the danger presented by lilies, if your premise was correct, cats would stay far away from them; however, one emergency veterinary practice reported in an article on their site that in the span of 2018-2021, they saw nearly 1,000 patients suffering lily poisoning, the vast majority of them cats.
If cats won't avoid one of the most deadly toxic plants they can come in contact with, it would be foolish to assume they'd avoid any other plant on the extensive list of common household plants that are toxic to them. While toxicity on the list ranges from "deadly" (lilies) to "gastrointestinal upset," most if not all plants on the list should be avoided, particularly if they can't be kept away from the cats. Anecdotally, I used to have a beautiful oxalis (shamrock) in my house; while certainly not the most toxic plant on the list, it carries a risk of kidney failure. My cats became obsessed with the plant and constantly tried to eat it; the plant now lives at my office to keep them separated.
As a final point, if any of your new houseplants are any type of lily, remove them from the household immediately and thoroughly clean the area where they were located to remove all pollen. Monitor your cat for any signs of lily poisoning and take her to a vet immediately if she shows any indication of illness at all.