Leviticus 17:11
For the life of the flesh is in the blood:
and I have given it to you upon the altar to make an atonement for your souls:
for it is the blood that maketh an atonement for the soul.
All the preparations for Passover are useless without the blood.
Exodus 12:13
And the blood shall be to you for a token upon the houses where ye are:
and when I see the blood, I will pass over you,
and the plague shall not be upon you to destroy you,
when I smite the land of Egypt.
1 John 1:7
But if we walk in the light, as he is in the light,
we have fellowship one with another,
and the blood of Jesus Christ his Son cleanseth us from all sin.
Look at the context of this passage. The chapter is about dietary law, not sacrifice. In fact, there are many types of non-bloody sacrifices mentioned in the Hebrew scriptures.
All the preparations for Passover are useless without the blood.
What do you mean, "useless"? The continuing observance of Passover is as a memorial day (Exodus 12:14) for the purpose of remembering what God did for Israel in the first Passover (Exodus 12:27). Passover is not about atonement.
Now, with regards to the Passover sacrifice,
You may not offer the passover sacrifice within any of your towns which the LORD your God gives you;
but at the place which the LORD your God will choose, to make his name dwell in it, there you shall offer the passover sacrifice, in the evening at the going down of the sun, at the time you came out of Egypt. (Deuteronomy 16:5-6)
The last place that God authorized for sacrifice was the temple in Jerusalem. Since there is no longer a temple there, the sacrifice cannot be offered. In fact, it would be an act of disobedience. However, the commandment to observe Passover remains:
This day shall be for you a memorial day, and you shall keep it as a feast to the LORD; throughout your generations you shall observe it as an ordinance for ever. (Exodus 12:14)
And so it is still observed, to the extent in which all of the particulars can be observed.
and the blood of Jesus Christ his Son cleanseth us from all sin.
The soul that sinneth, it shall die. The son shall not bear the iniquity of the father, neither shall the father bear the iniquity of the son: the righteousness of the righteous shall be upon him, and the wickedness of the wicked shall be upon him. (Ezekiel 18:20, KJV)