No, because pride is setting yourself above God. If you commit a different sin and still acknowledge Him as your superior, you're correctable. Pride is claiming to know better, at which point no one can correct you.
Pride begins by placing yourself as above much inferior beings, and ends with believing you can be greater than God. All sins stem from the belief you are above corruption which God warns all humans of, thanks to the Original Sin.
By acknowledging God and sinning, you possibly commited a slip, since you already know the path out of there. Pride severs that door, and that is why its the worst of sins.
There are a few other sins which are pretty much unforgiveable. Hypocrisy would be one I think.
Interestingly... Luke 12:1: "Be on your guard against the yeast of the Pharisees, which is hypocrisy." Wise words there for sure.
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