It was with worse aerodynamics than the P-39, mostly due to the 'exposed' radiators and a bigger & thicker wing. Barely beating 330 mph in it's un-armed form.
Just having the Allison company making a reliable 'fast' drive to the impeller (9.60:1 instead of the 8.80:1) by, say, early 1942, would've meant a lot to the whole P-39 program.
See here the P-39C with a few guns removed and such the S/C drive making more than 400 mph (ie. some 30 mph better than the standard P-39C).
Even better if Allison makes a variable speed drive to their S/C, like they did for the auxiliary S/C on their 2-stage V-1710s, but this time just for the single S/C on the engines found on the P-39s, P-40s and P-51s. Again, by early 1941, and with the drive giving the variable drive ratios between, say, 7:1 (for lower altitudes and take off) up to 10:1 (for higher altitudes).