Nope. For instance some of the chemicals in sun screen never had to pass rigorous safety testing because it was assumed they couldn't enter the blood, but in fact that's not the case, and already at least one is known to have negative effects on reproductive health: https://jamanetwork.com/journals/jama/fullarticle/2733085 . Who knows what other chemicals are floating about in various cosmetics entering the bloodstream through the skin without ever being safety tested for that.
I doubt it. One obvious example is plasticizers: there was a big ruckus about BPA a few years ago, so manufacturers phased it out and switched to different plasticizers, many of which are incredibly chemically similar to BPA. It's seems very plausible that they have similar negative health effects, but there's no regulation (or even disclosure, in most cases) of which plasticizers are being used.
https://www.science.org/content/article/bpa-substitutes-may-...
For degreasers, it was replaced by 1,1,1-Trichloroethane, a chloroalkane later banned by the Montreal Protocol. It's use in refrigeration was replaced by 1,1,1,2-Tetrafluoroethane, a hydrofluorocarbon banned in the EU today for global warming potential. And finally, its use as a general anaesthetic was succeeded by Halothane, which doesn't seem to have any major health affects (beyond those coming from being an anaesthetic). However, that too was later replaced by Sevoflurane, which is suspected to accelerate Alzheimers.
Also both those anaesthetisc are greenhouse gases.
So no, we are definitely going to have more problem chemicals in the future, because chemistry is complicated.
The things we did with (now known) hazardous chemicals in the 20th century are really disturbing. My question is are there now enough safeguards in place that we're unlikely to be repeating the same mistakes?
My guess is no, certainly not with every product imported from other countries. We joke about sketchy smelling products from China, and you occasionally hear about imports being recalled or blocked. How much of it are we missing, both known and unknown chemicals?
On the other hand, it's also easy for people disposed to anxiety to go down a rabbit hole where the only conclusion is you should go live off the land in the middle of nowhere...