No, Sonic 3 was in production before Jazz came out. Since Ice Cap Zone was included in Sonic 3 and not Sonic & Knuckles, it would've been one of the first zones put into the game. Also, the poles in Jazz 2 were probably inspired by those in Sonic & Knuckles' Mushroom Hill Zone. Since the game was released a few months after Jazz 1, they never got to consider the idea for Jazz 1.