Yes. I was abused sexually from age 7 to 13 by my stepfather. I met my now-husband at age 19, and we've just celebrated our 10th wedding anniversary (we're both 36 now).
The memories of the abuse from those years are much like a broken bone or any other illness/disease from which one heals and recovers. It takes time, patience, love, understanding and a good therapist, but it is absolutely possible to enjoy many healthy relationships (including a spouse/lover, parents, siblings, friends and authority figures) and move on after abuse.
I know it must sound impossible, but please know that there are many, many women and men who've endured physical, mental and/or sexual abuse as children who go on to live very happy and healthy lives as adults. You just need the tools and time to allow yourself to heal.
You're not alone