I had a ice dance partner, but only because we took the same set of group lessons and then decided to keep working together.
It's very difficult for adult skaters, especially women, to find a skating partner, so I was very lucky.
It's nice to have a partner, but not having a partner doesn't mean you can't be an ice dancer. Most adult ice dancers only have a partner (their coach or a hired partner) when they take a dance test.