Kind of. Gatsby is a serial liar. Also, Nick and Jordan subtly mock Tom to his face for thinking Gatsby is a sham/criminal, despite knowing that he is.
There is a brief mention of someone committing suicide towards the beginning. Later on, it is heavily implied that a mentally unwell character committed suicide.
Black people are referred to as "n***o" twice in the book, though it's typical for the time period and the black people in question aren't portrayed negatively.
Antisemitic character and n-word are mentioned elsewhere, but Tom also goes on a racist rant near the start. He's not portrayed positively, but nobody calls him out on it either.