That can not be. The Korban Pesach was not in anyway a sin sacrifice. It was a slaughtering of a god of the Egyptian people. The lamb was an idol. No sins were covered.
JPS Ezra 6:20 For the priests and the Levites had purified themselves together;How do you read:
shalom b'SHEM Yah'shua HaMashiach JPS Exodus 12:21 Then Moses called for all the elders of Israel,
and said unto them:
'Draw out, and take you lambs according to your families,
and kill the passover lamb.
all of them were pure; and they killed the passover lamb
for all the children of the captivity,
and for their brethren the priests, and for themselves.
The Pesach lamb has to be killed, roasted and eaten that same night. If a family couldnt eat the whole thing, it had to be shared and any leftovers burnt. Obviously Jesus wasnt killed and eaten.
The restoration of Passover Ezra speaks of was due to the return of the Israelites from Exile as is explained in the verses following the one you quoted.
"So the Israelites who had returned from the exile ate it, together with all who had separated themselves from the unclean practices of their Gentile neighbors in order to seek the LORD, the God of Israel. 22 For seven days they celebrated with joy the Feast of Unleavened Bread, because the LORD had filled them with joy by changing the attitude of the king of Assyria, so that he assisted them in the work on the house of God, the God of Israel."
As you can see, there was no sprinkling of blood on the alter (not required for passover) and no forgiveness of sin. (which even when there is a sacrifice at the temple alter, it is for unintentional sins only)