Is it enough for two people to accept each other as spouses for marriage?

I met someone and got engaged. He wanted to meet me and hold my hand during this process. We said that we accepted each other as spouses so that it would not be haram, but at that time there was no one other than the two of us. Then we couldn't get along with this person and we broke up. I don't know if our marriage was valid or not. My family is unaware of the situation, what should I do?