No; a nonbinary character is called by the wrong pronouns once or twice, but it's always immediately corrected without incident. The same character is called by a name they no longer use, but it's clear that it's not their deadname.
A character who is heavily implied to have mental health issues is emotionally abusive towards their child, though there is no explicit physical violence depicted between them
Multiple characters praise members of the police force, however the narrative generally paints these characters as misinformed and/or victims of manipulation. There are many more characters that work against the system that are painted in a heroic light.
(SPOILERS) A previous comment states that there are no depictions of physical abuse, however there has since been an update depicting a father hitting his 18 year old son
(SPOILERS) Following an update in chapter 9, implications have been made that a character was kidnapped as a child. Whether that's true or if they left of their own volition is unclear