Does this count as murder by inaction?

This guy knows a woman. She's a relative, they used to get along well but then they had issues and drifted apart.

In the meantime this guy is also married and has a baby. The woman wants to spend time with the baby, and he allows it up to a point.

Then he thinks her issues, anger and depression, are not good for the baby, so he starts making excuses and tries to make her understand she's not welcome anymore. A week later she dies because of an alcohol and chems cocktail. People say it's an accident but it's clear to me that this guy didn't see how his actions affected her and eventually caused her death.

Does this count as murder by inaction?
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