Absolutely. My view on it is that the collaborative narrative is emergent from the play.
My observation from prior play is that when one or more participants arrive at the table with a decision already made about what that collaborative narrative will be, then flow of play is interrupted. When the GM has made the decision I think it tends to be labeled railroading or performance. When a player or players have made the decision I think it tends to be labeled disruptive play or intra-party competition.
I want to stress I view this is a razor thin point of differentiation and my focus on it is for how it affects what people do with their voices and their dice at the table.
Observing some of the newer books for this continually changing hobby, it seems arriving at the table with an intended collaborative narrative is becoming more common and more supported. Something like The Mountain Witch seems to be an example of this to me. That is, the acts and story beats and narrative are part of the goal.
This is a form of play I have not attempted and I likely view things this way from previous mismatches among the folks around the table about what the narrative would be.
My experience, and the world can absolutely change around this and not be wrong, is more from the view of we will arrive with characters, rules, and setting pretty thoroughly agreed on, but the narrative that emerges may not ever have a recognizable form to it even after it’s done. But we will have had a good time at the table and we’ll enjoy the story after even if one party member killed everyone with an essential flame spell.
To paraphrase something from a discussion of conversations I listened to recently, conversations tend to have a dominance axis (who is right and who is wrong) and a proximity axis (do we feel closer to each other or further apart after this exchange). My hope is to focus the table on that second aspect. That even if Calico, Princess of Amber, beats her cousin to death with a stick and reduces his corpse to cinders because he used advanced shapeshift to store the Jewel of Judgement in his abdomen; the takeaway isn’t, “I beat you”. The takeaway is “we just had an experience together we could not have ever had with anyone else under any other circumstances.”