Yes, but not all partners are echtgenotes. An ''echtgenoot'' or ''echtgenote'' is someone who is married, while partners may or may not be married.
edit: it just occurred to me that the literal translation of "echtgenote/echtgenoot'' is ''spouse''.
I would say that 'Zij is jouw vrouw' is more commonly used than 'zij is jouw echtgenote'. The latter is more formal.
Why can't we use "uw" instead of "jouw" here, if on a prior exercise of this unit they were interchangeable?