I don't think so. He was presbyterian, wasn't he?

No. The Gospels specifically mention Jesus keeping three Passover feasts in Jerusalem. However, in order to keep the feast, the participants were given roasted lamb, bitter herbs, and unleavened bread to eat (Exodus 12:3-4). The entire lamb had to be eaten during the feast. If there were any leftovers, they had to be burned (Exodus 12:10). If Jesus did not eat the lamb, he would have been violating the Law and could have been accused of sin. "... observe the Passover to the LORD. 'In the second month on the fourteenth day at twilight, they shall observe it; they shall eat it with unleavened bread and bitter herbs. 'They shall leave none of it until morning, nor break a bone of it; according to all the statute of the Passover they shall observe it. 'But the man who is clean and is not on a journey, and yet neglects to observe the Passover, that person shall then be cut off from his people, for he did not present the offering of the LORD at its appointed time. That man will bear his sin." (Numbers 9:10-13) The New Testament records that Jesus did eat the Passover feast, which would include the eating of the roasted lamb (Luke 22:14-15). In fact, before the last Passover meal, Jesus specifically instructs his disciples to prepare the meal, including the lamb, for their observance.

That question sounds a little fishy to me.

well He ate fish, the gospels tell us, but whether He ate them exclusively, we cannot know