Moses was warned that there would be no tolerance for breaking the Law ...
EXODUS 23:21 Beware of Him and obey His voice; do not provoke Him, for He will not pardon your transgressions;
They were ‘under Law’. And Moses broke it, therefore had to pay the penalty - death!
EXODUS 20:7 You shall not take the name of the Lord your God in vain, for the Lord will not hold him guiltless who takes His name in vain.
Mose was Gods mediator, he represented God to the children of Israel. When they saw him, they saw God. Just as when he came down from Sinai, only then he wore a veil, but not here ..
NUMBERS 20:10 And Moses and Aaron gathered the assembly together before the rock; and he said to them, “Hear now, you rebels! Must we bring water for you out of this rock?”
Moses was mis-representing God, misrepresenting his [Gods] name. A clear violation of Law.
Now, did he blame ‘Israel’ for him breaking the Law? Just like Adam blaming someone? In this, one thing is very clear, if he ‘might’ve’ - the word/bible certainly does not say this, which you are suggesting and only some very ‘loose’ eisegesis could reason this.