The 1994 short story, Jesus used a paper cup by Adam-Troy Castro recounts an alternative Last Supper in a mall’s food hall, after which the disposable plates and cups were discarded. The story concerns the search for the Holy Grail in that world. A rather less than pleasant undertaking.
No, they were eating with their hands from a common serving dish:
Jesus answered, “It is the one to whom I will give this piece of bread when I have dipped it in the dish.” Then, dipping the piece of bread, he gave it to Judas, the son of Simon Iscariot.
That, taking the food and handing it out, is what you see parents do for their children in cultures where you eat from cooking/serving dish, and where the most important people get to eat first. It suggests that there aren’t individual plates that the food is served out onto.
There’s a description here:
The bowl was now brim-full, ringed round its edge by white rice in an embankment a foot wide and six inches deep, filled with legs and ribs of mutton till they toppled over. It needed two or three victims to make in the centre a dressed pyramid of meat such as honour prescribed. The centre-pieces were the boiled, upturned heads, propped on their severed stumps of neck, so that the ears, brown like old leaves, flapped out on the rice surface. The jaws gaped emptily upward, pulled open to show the hollow throat with the tongue, still pink, clinging to the lower teeth; and the long incisors whitely crowned the pile, very prominent above the nostrils’ pricking hair and the lips which sneered away blackly from them.
At length some of us were nearly filled, and began to play and pick; glancing sideways at the rest till they too grew slow, and at last ceased eating, elbow on knee, the hand hanging down from the wrist over the tray edge to drip, while the fat, butter and scattered grains of rice cooled into a stiff white grease which gummed the fingers together. When all had stopped, Nasir meaningly cleared his throat, and we rose up together in haste with an explosive ‘God requite it you, O host’, to group ourselves outside among the tent-ropes while the next twenty guests inherited our leaving.
It’s similar to a traditional way of using tortilla to eating beans.