No I don't think they do and I don't think they ever can - because they will always of the 2 sexes be taller, stronger, faster and less vulnerable.
The one man I feel comes CLOSE to getting it is my brother for 2 reasons:
1 He grew up in a violent household (abusive alcoholic father) and knows how it felt to be the smaller, weaker, slower person in that dynamic
2 he is now a police officer and so has very often - too often he would even say because it would be great for everyone if he had to deal with this less often - been the first responder to incidents of dv, assault, rape and murder. He now works in an area which means he's less likely to deal with this stuff but he occasionally still has to depending on circumstances. So he's seen what many men don't - the immediate aftermath of such events.
He's even half "joked" at times prior to the sm item aforementioned that really it actually would make sense to put a curfew on men - says it would likely mean a lot less work for his sector! Not none because that would do nothing re dv but it would cut out a lot of other stuff.
But it's because they don't live it and never will.
It's like I will never "get" how it feels to be non white woman who are even more vulnerable. I can sympathise and feel outrage, sadness and anger on their behalf that it's the case that they feel even more at risk than I do but I can never truly understand how it feels.
All we can do is keep telling them, keep on at the politicians and lawmakers to change things (and yes I know that feels particularly unlikely at the moment!)
We need better investigation and prosecution rates, better training of police officers, dispelling of rape myths, dismantling of rape culture, much stiffer sentencing for violence against women and children - bug the life out of your Mp on these matters - I do!
Sign petitions do whatever you can to effect change.