If you are asking this question as a hypothetical one, all things are possible with God's help and often He chooses the most unworthy and weak ones of this world, even those thought the least likely, to manifest His power. So my answer is of course, Yes, because to deny this is to say there is a limit to what God can do.
If you are asking about yourself, I do not know you and more importantly, it is not WE, the laity here, to whom you should ask this question but to a priest WHO UNDERSTANDS YOUR SOUL AND THE WAY GOD IS WORKING WITH YOU INDIVIDUALLY. If/when you find such a priest, God will guide him in helping you discern whether you have a vocation or not. In the meantime, you should put this matter under Our Lady's protection and pray diligently to know God's Will. None of us should DARE to presume to know the Will of God for you in such a serious matter. We do not possess such a grace.
I do not believe that all children from dysfunctional families make poor parents or priests/Sisters. I have met such and been edified. Precisely because they were in such a situation themselves, often they are in a better position to not only understand what remedies need to be applied to such a family under their care but are also more zealous for the proper education of such families' children, having gone through childhood feeling the need of the same themselves.
OTOH, growing up I was taught by quite a few Sisters who had no vocation at all but were "encouraged" (to put it mildly) into Religious life by devout parents. There are a few who, if I were a parent today and they did to my child what was done to me and my classmates, I would bring charges of blatant child abuse. These were very mentally sick women. But back in those days, you did as Sister said. The parents were scared of them as well as the kids.
If we were to dismiss all children from dysfunctional families as not having the requirements for a true vocation to serve God either in the religious life or married state, in today's world that would leave few indeed who qualify. Many such children do go on to continue the dysfunctional ways later in life, but not all. Give God a chance!