Yes and no.
Yeshua was a Galilean. It was the custom in the Galilee for firstborn males to have a special celebration to remember that they were saved from the 10th plague in Egypt –– death to the firstborn males who did not have the blood of the lamb painted on their doorposts. This celebration took place on Nisan 13, the day before the official Passover (which began on Nisan 14). The firstborn males fasted on Nisan 14 until they sat down for the official Passover meal on Nisan 15. Since they were going to fast after their celebration, the meal before the fast was called the “Last Supper.”
In the biblical accounts of the Last Supper, Yeshua broke bread (leavened bread, not matzah) with his disciples. If he was eating a Passover meal, it was required to eat matzah, not leavened bread. The biblical account also does not mention any lamb at his meal –– and having roasted lamb was a requirement for the Passover meal.
So Yeshua’s last meal was indeed a “last supper” before the “Fast of the Firstborn,” a practice which is still followed today. It was a Passover celebration before the official Passover meal.
The official date to slaughter the lambs for the Passover meal was Nisan 14. Yeshua was on the cross on Nisan 14 –– HE was the Passover lamb!