I'm not sure about the answer to your broader question, but the BBC reported that there has been a (regrettably predictable) increase in intimate partner violence in the UK (as measured by the National Centre for Domestic Violence) yesterday: https://www.bbc.co.uk/news/uk-52157620
It doesn't answer your question, but the below links might act as a good starting point for researching the complexity of the situation when considering coronavirus and organised crime
I have no idea of crime data. It is quite early to establish a relationship between the two, but it would be a very good work. I have sent the Kaggle link for Covid-19 below.