No of course not. And even if there were, by what mechanism would infinitesimal changes in gravity determine, of all things, the personality of an individual human being, given that lunar gravity, which as you point out does have a detectable magnitude here on Earth, has no such effect ?
It is silly in the extreme. But there are many many precedents for such silly or superstitious thinking in human history and in modern culture too. The great achievement of natural science at the Renaissance was to cast all this rubbish aside and insist on objective observational evidence for theories of nature. By these criteria astrology is obviously bunk. Astrology goes along with the healing power of crystals and homeopathy as a testament to the enduring gullibility, foolishness and wishful thinking of humanity.