Yes there was a solid chance because the development was there
it was slower and steady but present. Sasukes presence sans all the drama wouldnt have changed Narutos actions really nor the fact that he did not have feelings for Sakura.
the issue is that the premise is based on SS being strong in part 1 well that fact is that isnt true because its missing one key element
namely a VERY large S
Sasuke was not present in the relationship as any form of equal partner and it was all in Sakura lap and one wall cannot build a house
the entire relationship was one sided where as in NS it was growing visually before our eyes and we could witness its progression
A Sasuke; sans all the drama,wouldnt really have a motivation to change anything as Sakura would be one of a collection of fangirls who dont know him and do nothing but fawn all over him. And Sakura would not distinguish herself from this by any stretch of the imagination until late in part 1. And that only because Sasuke left the vllage which led to the promise of a lifetime and Narutos actions which led to her desire to be stronger.
Its possible that Sakuras change could have come without the Sasuke drama as Sakura herself was shown slow signs of growth which was mostly due to Naruto plus her rivalry with Ino but this would have taken time.
theres also the bench scene to consider where in if Sasuke stays Sakura eventually confronts Sasuke about it in some attempt at a love confession only to discover the truth that it was Naruto all along who complimented her forehead
this throws an entirely new monkey wrench in the works as suddenly Sakura has to question everything she thought she knew
in Conclusion no i do not believe without a radical shift in Sasukes behavior and Sakuras for that matter that Sasukes presence would change the dynamic between the NS pairing it would be slower and take longer but it would still happen as the development was progressing in that direction as a wise manifesto said a long slow walk.