From the following link:
bismikaallahuma.org/archives/2005/pauls-dependency-on-talmudic-writings-evidence-of-new-testament-borrowing/#footnote_0_106
*In 2 Timothy 3:8, we see that Paul traditionally names two of the Egyptian magicians who withstood Moses as Jannes and Jambres, respectively. He compares the both of them with his enemies, as the following verse records:
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“Just as Jannes and Jambres opposed Moses, so do these men oppose the truth, corrupt thinkers as they are and counterfeits so far as faith is concerned.”
The names of these two Egyptian magicians are nowhere to be found in the Old Testament. The Midrash Rabbah on Exodus, however, makes mention of these two names as “Yochani” and “Mamre” respectively, and states:
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Amru Yochani uMamre L’Moshe: “teben atah makhnis L’efrayim?” Amar Lahem “L’matah yarqa yarqa sh’qol.”
Yochani and Mamre said to Moshe “Would you carry straw to Afraim?” He [Moses] said to them: “carry herbs to herb-town.”1
The names of these Egyptian magicians also appears in Midrash Tanchuma (Parshat Ki Tisa) 19:19 as a Commentary on Exodus 32:
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Forty thousand people had assembled to leave Egypt with the Israelites, and among them were two Egyptians named Jannes and Jambres, who had performed magical feats for Pharaoh.2
Thus it is clear that these magicians’ names came from the Rabbinic traditions and had no doubt influenced Paul considerably to include these names in his epistle.
Paul also adopted the current Jewish chronologies in Acts 13:20-21. He alludes to the notion that the Adam of Genesis 1 is the ideal or spiritual, the Adam of Gen 2 the concrete and sinful Adam (1 Corinthians 15:47, also found in Philo, De Opif. Mund i.32). The conception of the last trumpet (1 Corinthians 15:52; 1 Thessalonians 4:16) , of the giving of the Law at Sinai by Angels (Galatians 3:19), of Satan as the god of this world and the prince of the air (Ephesians 2:2) and of the celestial and infernal hierarchies (Ephesians 1:21, 3:10; 4:12; Colossians 1:16; 2:15) are all recurrent in Talmudic writings.
When Paul says in 1 Corinthians 11:10 that a women ought to have a veil on her head because of the angel, as stated in the following:
“The woman, therefore, ought to have a token of authority on her head, because of the angels”
he demonstrates a very high familiarity with the Talmudic writings, as he is apparently referring to the Rabbinic interpretation of Genesis 6:2 as follows:
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Binei Elohim. B’nei ha-sarim v’ha-shoftim. Davar acher: b’nei ha-Elohim, hem ha-sarim ha-holkhim bishlichuto shel maqom, af hem hayu mitarvim bahem; kal elohim shebamiqra l’shon marut, v’zeh yokhiach: V’atah tiyeh lo lelohim, r’eh n’tatikha elohim.
THE SONS OF GOD. The sons of princes and rulers. Another explanation of B’nei Elohim is that these were princely angels who came as messengers of God, and they intermingled with the daughters of men. Wherever the word “elohim” appears in the scriptures, it signifies authority, thus the following passages: “And you shall be his master (elohim)” [Exodus 4:16] and “see, I have made you a master (elohim).” [Exodus 7:1]3*
So YES they do quote the Talmud and other Jewish Oral Traditions.