No. "could" is not what you should be asking. This is not how proper scholarship works.
But we legitimately ask "could" when hypothesizing.
You do nt say "well it could be this, and that accords with my faith, therefore it is true". You have to think about what is probable. You have to do it whilst putting aside your preferred outcome and you have to take into account all the evidence, not just the bits that you think you are ok with.
This is true. Here is my reasoning:
Luke 22:19-20 is similar to Mark 14:22-25 and Matthew 26:26-29. Of these three though, only Matthew has the balance that I showed in #19, where the structure is exactly the same for the cup as it is for the bread. Mark and Luke have this structure but it is broken both in Mark, as I showed, and also in Luke where it says "And likewise the cup after they had eaten" instead of "And he took a cup, and when he had given thanks he gave it to them".
All are logical when read in isolation, which makes it harder to deduce which is the original. Luke is reworded, eg "the new covenant in my blood". Given the close correspondence between Matthew and Mark, it is likely that one copied the other. This means that either Mark changed "drink of it, all of you" to "and they all drank of it"; or Matthew changed "and they all drank of it" to "drink of it, all of you".
In several instances in Matthew, certain actions are implied from direct speech, where Mark emphasizes them in his narrative (in this passage, the action implied by Matthew is that the disciples drank).
Another example is Matthew 9:10-11,
And as Jesus reclined at table in the house, behold, many tax collectors and sinners came and were reclining with Jesus and his disciples. 11And when the Pharisees saw this, they said to his disciples, “Why does your teacher eat with tax collectors and sinners?”
Compare with Mark 2:15-16,
And as he reclined at table in his house, many tax collectors and sinners were reclining with Jesus and his disciples, for there were many who followed him. And the scribes of the Pharisees, when they saw that he was eating with sinners and tax collectors, said to his disciples, “Why does he eat with tax collectors and sinners?”
According to the 'editorial fatigue' theory, Mark has read in Matthew 9:11 the Scribes' question to Jesus. He then makes explicit in his narrative what is implicit in Matthew (they saw that he was eating with sinners and tax collectors). Then he continues copying their question to Jesus, thereby repeating the phrase "eating with tax collectors and sinners".
We can deduce from this and other examples that Mark likes to turn direct speech into narrative. See also Mark 2:18 (cf Mt 9:14), Mark 7:2 (cf Mt 15:1), Mark 14:35 (cf Mt 26:39).
Apparently then, it is probable that Mark 14:23 is another case of Mark turning direct speech into narrative, and as a result breaking the balance that is seen in Matthew 26:26-28 (see #19).