Of course you can have both. I wouldn't really want one without the other.
With my boyfriend, we have a stable, serious relationship which is at times very romantic.
But then again, sometimes when we're both in a bad mood we would blow up the smallest misunderstandings into huge arguments which end up in both of us realising how stupid we were, and we'd pretend it never happened.
If you look at them separately, the first one is much too boring, and the second option is like riding a rollercoaster to school every morning, which after awhile could make you want to jump off when it's at its highest.