Totally possible. I don’t think everyone’s dreaming ‘style’ is the same. So it might be possible for some people to remember details like conversation but not for others. Some people have very dreamy dreams in that they can be fantastical – flying, unicorns, nightmares. My dreams are very ‘normal’ in that the people, activities are not surreal even if they are a bit non-linear and the juxtapositions can be a bit weird.
My dreams tend to very quickly forgotten though unless i have cause to recount them to someone soon after waking.
As a kid a dreamt a whole week of school on a Sunday night. We were on a two week alternating timetable and for days I was going to the wrong classrooms and panicking about homework I hadn’t done which wasn’t yet due for a week.