Can you go from a toxic relationship straight into a healthy one with someone else? (Read description first)

If a guy treated you badly over a long period of time, and your relationship got extremely toxic because you ended up sticking up for yourself, and decided not to take his shit anymore and fought back, when it finally ends is it possible that he can go from being like that in one relationship, to being in a healthy relationship a few weeks later with someone else, moving her in after a short couples of months? Giving himself no time in between to heal or reflect on mistakes made in previous relationships, making out to the outside world that he's really happy now but you know his toxic traits are still there because he treated you and his girlfriend before you both badly.