Not really, and for many countries there's really no way at all.
For example within the EU you could fly your Cessna between Germany and say Denmark and never get recorded anywhere that's publicly available.
Nothing on sites like Flightradar24 (at least not reliably), no official records except for your payment of landing fees using your credit card (then again, if you pay cash...).
I'm sure the same is true between some other groups of countries. And then there are countries where the border and airspace are so porous it's quite possible to get in and out without being noticed illegally. Think smuggling fligths somewhere in Africa or South America. No radar coverage, bush strips that officially don't even exist.
And those flights can make it into the USA as well (drugs runners from Colombia sometimes use aircraft and try to sneak through the US border patrol, navy, and coast guard radar pickets, some no doubt make it.