Is it possible to heal your attachment style while staying in the same relationship?

Has anyone ever successfully healed their attachment style and developed a secure one while in a relationship/marriage that started out messy?

Editing to add: my husband and I have had our ups and downs over 5 years, we both come from traumatic childhoods, but he at least had one safe parent, so he's partially securely attached (partially avoidant), and I had 2 unsafe parents, so my attachment is much less secure. I am really working on becoming more securely attached (and processing my trauma), but in the process I sometimes don't feel so close to my husband. I don't want to leave him but sometimes I get scared we'll grow apart :( I'm wondering if anyone else has had to sort of "push through" to get to the end of an uncomfortable scary phase of changing, to come out the other end securely attached and happily connected to their partner?