Nope you have it all wrong read my written passages
“Aaron must then enter the Meeting Tent and take off the linen garments which he had put on when he entered the sanctuary, and leave them there. Then he must bathe his body in water in the Holy Place, put on his clothes, and go out and make his burnt offering and the people’s burnt offering. So he is to make atonement on behalf of himself and the people.
“Then he is to offer up the fat of the sin offering in smoke on the altar, and the one who sent the goat away to Azazel must wash his clothes, bathe his body in water, and afterward he may reenter the camp. The bull of the sin offering and the goat of the sin offering, whose blood was brought to make atonement in the Holy Place, must be brought outside the camp and their hide, their flesh, and their dung must be burned up, and the one who burns them must wash his clothes and bathe his body in water, and afterward he may reenter the camp.
Leviticus 16:23-28
I submit this scripture as evidence that God graciously offered His people a way of atonement before Christ became the final sacrifice.