I'd vote for Polnareff here only if he started off angry here.
Polnareff's Anger increased Chariot's range to whatever it is but it was roaming around the room where he fought Vanilla Ice so the 15 meter starting distance shouldn't be that high. Include the fact this rage amp increases Chariot's Strength and Speed which is potent enough that Vanilla Ice had to mention how fast he is going, this essentially allows him to blitz and shit on Kakyoin with two slices at that point since Hierophant has small building level durability. I don't know if it increases durability though but you get the picture.
Also enraged Polnareff who was by the way already heavily injured from Cream's attacks as stated in the stamina section "Half of his foot, half his hand and his thigh all being consumed by Cream's void on top of minor damage like a skinned cheek and elbow as well as a
presumably fractured arm" still managed to blitz and break Cream's neck. I'm pretty sure he can take a few emerald splashes and still fight, hell he can probably deflect it similar to how he was deflecting Avdol's flames. It's precision is nothing to gloss over.
I doubt Kakyoin even has time to set up his webs or the 20 meter emerald splash when Polnareff is constantly pressuring him and is within his sights. He even has that shooting of the sword technique which Kakyoin does not even know about to possibly pull trick maneuvers such as its ricocheting properties.
This is not even taking consideration to Chariot's Armor Off ability which would allow him to blitz Kakyoin no matter what once Enraged Chariot gets hold of him at lease once, though the durability reduction could be a disadvantage if Polnareff was not careful.
Chariot's precision and its rage amp allows him to easily deflect it, he would fodderize it like how Dio fodderized the emerald splash.
Rage Amp increases the range of chariot, allowing him to tag Kakyoin much more easier, he just needs to be near Kakyoin by 10 meters or something and its over. How fast is Kakyoin's movement speed without his stand anyway? Polnareff is Peak human since he outran Enya who was stated to be faster than Flo-Jo (Unless movement speed is equalized then oof) also his sword shooting technique is also there.
Yeah if he can even set it up in the first place with Polnareff constantly pressuring him.
That's assuming Polnareff would even lose sight of Kakyoin in the first place.
Do what? Keep shooting emerald splashes onto Polnareff which Chariot can easily deflect back? The difference between the tower of gray fight and this one is Tower of Gray was
dodging those attacks, not deflecting them back to Kakyoin, which gives enough time for Kakyoin to stall out and set up his traps, I don't think he can set up any traps if his emerald splashes keeps getting deflected back to him.
If Polnareff does not start off angry here, then he is at a disadvantage with that 15 meter starting range but maybe he could still manage? I don't know, but I do know an enraged Polnareff can take this.