That's the funny part, I don't think so either. Ironically the best chance might be Toshiro. Ichigo could beat Bankai Yama since he can resist ZnT with Blut, but again, that's with Blut.
Toshiro’s passive cold that radiates from his body in his Mature Bankai was able freeze Gerard better than his Shikai Hyoketsu which is what can freeze all forms of matter including fire, and raw spiritual energy…the latter 2 being what Yama’s Bankai flames are. Raw spiritual energy taking the shape and properties of fire
As for Ichigo, you could argue that his heat output from his zanpakuto and by extension his resistance is greater than Yama’s Bankai’s heat. Sounds crazy I know but look.
1st Invasion Base Yhwach (the weakest version of Yhwach in the TYBW besides Black Ant Yhwach) told Royd to stand down when he went to meet with Aizen, as he was the only one who could handle Yama’s Bankai. Meaning it wasn’t his plan for Royd to weaken and exhaust Yama like a lot of people say.
Base Yhwach w/ Blut scales to Yama’s Bankai’s heat output if he could control ZnT and use its heat. We know Yhwach gains the stats, abilities, knowledge etc of whoever his soul touched when they die. So not even accounting for all the Shinigami and Quincy that died and amped Base Yhwach up to this point, Royd dying is another 70-80% stat boost, and Yama dying is an additional amp in the same ballpark being vaguely over whatever boost Royd gave.
Yhwach would also gain Yama’s power, stats, abilities etc which would include his heat resistance.
FB Bankai Ichigo when fighting this mega amped version of 1st Invasion Base Yhwach was able to blow through his Blut Vene (the anime showed the blue reishi of Yhwach’s outstretched arm that he used to block the Getsuga get dispelled) and scorch his arm black…burning him.
So a weakened and injured but rage amped FB Bankai Ichigo burned the strongest version of 1st Invasion Yhwach through his Blut Vene despite Yhwach’s Blut already scaling to being able to take Yama’s Bankai heat, Royd offering a 70-80% boost to those stats, and Yama’s own stats + heat resistance
All that to say, if this line of logic checks out, True Zanpakuto Ichigo might not need Blut to deal with Yama’s heat as his own Zanpakuto’s heat which he’s constantly surrounded by is something that doesn’t bother him
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