In inspired by this question Did Paul preach Jesus's message?
Which apostles quoted Jesus and which ones did not?
Did Paul meet Jesus in person and did he ever quote Jesus?
This is a difficult question to answer, due to the sparsity of the record. We have no indication that Paul ever met Jesus during his mortal life, and in at least one place, we have Paul claiming to quote Jesus but giving a doctrine not recorded anywhere in the Gospels.
(This should not surprise anyone who's familiar with the last verse of the Gospel of John, of course.)
And we don't have surviving works of all the apostles, (and it's reasonable to assume that we don't have all the important writings of the apostles whose work we do have some of today,) so it's impossible to say if any of them did not quote Jesus, though I find it unlikely on a simple logical basis: they were sent out specifically to teach his message; how could they do that accurately without using his words?
Paul quoted Jesus directly in 1 Cor 11:23-25.
Did Paul meet Jesus in person? It's not known whether Paul met Jesus in Jesus' earthly life and it seems very unlikely. However, Paul did meet Jesus "personally" in the sense that Jesus spoke to him personally as he indicates in the above passage and also in several other places.