Based on the biblical accounts, we can not say definitively that Judas Iscariot received the Eucharist at the Last Supper. The Synoptic Gospels and the Pauline account to not specify the point at which Judas left the Last Supper, and the Gospel of John, which does specify this, does not specify at what point in the Last Supper the Institution of the first Eucharist occurred.
The only point of correlation we can make between these differing accounts is the incident of the “sharing from the dish” between Jesus and Judas which is mentioned in John 13:21-26:
When he had said this, Jesus was deeply troubled and testified, “Amen, amen, I say to you, one of you will betray me.” The disciples looked at one another, at a loss as to whom he meant. One of his disciples, the one whom Jesus loved, 8 was reclining at Jesus’ side. So Simon Peter nodded to him to find out whom he meant. He leaned back against Jesus’ chest and said to him, “Master, who is it?” Jesus answered, “It is the one to whom I hand the morsel 9 after I have dipped it.” So he dipped the morsel and (took it and) handed it to Judas, son of Simon the Iscariot.
The account continues:
After he took the morsel, Satan entered him. So Jesus said to him, “What you are going to do, do quickly.” (Now) none of those reclining at table realized why he said this to him. Some thought that since Judas kept the money bag, Jesus had told him, “Buy what we need for the feast,” or to give something to the poor. So he took the morsel and left at once. And it was night.
John continues his Last Supper narrative without mentioning the words of the Instution the other Evangelists used, “take and eat, take and drink.”, but he does continue on for four more chapters, so it is apparent that a lot happened at the Last Supper after Judas Iscariot had left.
The dipping in the dish is also mentioned in Matthew 26:23 and Mark 14:20. Judas’ departure is not mentioned here in these accounts, but according to John we can presume that he “left at once” following this. Only After this are the words of the Instution of the First Eucharist mentioned in Matthew 26:26-28 and Mark 14:22-24.
So it is quite reasonable to infer from this that Judas Iscariot may not have actually received the Eucharist from Jesus. One objection to this interpretation is that that Matthew and Mark may not have been recording the last Supper account chronologically, and their words “while they were eating” may be taken to mean that the Institution of the Eucharist may have taken place at any time during the Supper, possibly before the “sharing from the dish” while Judas Iscariot was still present. Others disagree with this, and while numerous opinions concerning this exist, I am not aware of any definitive statement from the Church at this time stating that Judas was or was not present to receive the Eucharist at the Last Supper.