There's a way to draft many things.
One of the main challenges I think would be in how the offences one wanted to have captured would be identified. They could either be identified through particular offences being specifically listed, or they could be identified with a description such as “an offence that involves violence”.
Part of the problem with the use of the word “violence” is that it's not a word that appears in offence provisions. For instance, the offence of assault is “the application of force without the consent of the other person”, so even the offence of assault is not described from a criminal law perspective in terms of violence.
One would have to think very carefully about the way to capture the sorts of offences you wanted to see included to the exclusion of others, and difficulties I think would arise with certain offences that people might reasonably disagree into which category they fall.