NO, no Israelites became so attached to the lamb that they could kill it. If you really understood the significance, you wouldn't think of "backing out". It wasn't a pet. It was also a very common source of food as it is clean meat, unlike pigs.
Before Christ, the Jews had to offer Lambs as a sacrifice for the forgiveness of their sins. It had to be a perfect male lamb, without any spots, injuries or blemishes, and had to be a yearling. [It was foreshadowing Christ]
The reason it's called Passover to this day, is because the death angel "passed over" all of Egypt, every house. Where ever the blood of the lamb was on the door posts and lintel he "passed over" that house and everyone was safe. In every home in all the land of Egypt, the firstborn of every family died, -- firstborn cow, sheep, goat, donkey, horse, and all the livestock died, from the Pharaoh to the poorest slave.
They were to eat unleavened bread -- without yeast -- because they had to be ready to take their entire family and leave before the bread would rise.
It is the most amazing Holiday. Jews and some Christians celebrate it around the world, and it looks the same in Israel, Poland, USA, and Hong Kong, Romania, Australia, etc, -- eating the same food, roasted lamb shank, horseradish, salt water, and they sing the same hymns that they sang 5000 years ago.
Christ was killed on Passover at the exact same time that lambs were being slaughtered in the temple, and He was our Passover lamb. His blood was the sacrifice which allows the death angel to Pass Over us.
The matza bread wafer is "hidden" away for three days -- Christ was three days and Three nights in the tomb
The matza bread is wrapped in a special white cloth -- the white grave clothes used to wrap Jesus body.
The matza bread is Pierced and broken. -- Prophesy from Hebrew book of Isaiah 53 which points to Christ's body, pierced and broken.
When Christ was on the cross, the lambs were being killed, there was an earthquake and the veil of the Temple was torn from top to bottom, opening up the most holy place, reserved only for the High Priest, giving us full and direct access to God, so we don't have to go through any priest or mediator now. Christ's death on the cross paid the penalty once for all mankind, for all time. Yeshua ha Maschiah. Jesus is the Messiah. He is Risen.
I highly recommend that you take part in a Jewish Seder Meal. Some Jewish synagogues have special open Seder meals, and some Christian churches also have Seder Meals performed by Messianic Jews -- Jews who embrace their culture and history and the law of God, and accept Yeshua as the Messiah.