Short answer, no.
Long answer, maybe under very strict circumstances and in certain areas or scenarios. The issue is that FSD could get everything correct 99.9% of the time, but that .1% is the stuff you have to watch out for. You might not get into an accident, but even so, anything that causes frustration, like not being assertive enough and being too polite; not following speed limits correctly; taking incorrect exits/entrances or turns; etc., will immediately be seen by many as a failure and reduce trust in the system. Then you also have the even larger issue of liability and laws or regulations that can vary from state to state or even city to city.
I just don't feel FSD is ready for prime time yet. It is very good on highways when you are mostly just going for long stretches of continuous straight roads. But even so, if you have cases where FSD doesn't avoid debris on the road or, worse, encounters one of those rare edge cases and doesn't react appropriately, then you have a very big mess on your hands. Not only on the user end but on Tesla as well.
Don't get me wrong, it is very close to being there, but it isn't there just yet.