Nope. As a grad student chemist I can tell you that’s just not a thing. As @CWOTUS has said, we tend to gain that knowledge over time as we use the elements, but I would have no use with memorizing, say, the lanthanides, or all the oxidation states of the transition metals. It’s simply not germane to my work (though nuclear or electrochemists would probably be quite familiar with those two areas, respectively, and unable to name and draw all the amino acids as I can). It’s like asking if English teachers have to memorize all of Shakespeare. They’ll probably come to know it very well over time, but it’s not a requirement.
And as @elbanditoroso has also said, we have resources for that. I have a fantastic table I keep in my bag that has far more information on it then I could ever possibly memorize.