Yes, but not one word Jesus spoke was from outside of Scripture. Everything concerning Jesus life, death, and ressurection was foretold, but that wasn't how those prophecies were interpreted by any in Jewish scholarship.
Jesus didn't come with a new message, He came with a new understanding of Scripture. God's Word is scripture, all inspired by God. Jesus never spoke outside of what was already written. Just a new way to understand it.... (All scripture testifies of Him)
While some things in the old testament were once outside of Scripture, they had to be tested to see if they passed the test of the prophet... what does the Bible say? No prophecy came about by a prophets own interpretation of things, but by inspiration of God, but there are false prophets as well we are to look out for. *2 Peter 1:20 - 2 Peter 2:1-2 (or through 3 or so)
Even Jesus had to prove Himself to be sent from God...
Jesus said many things that were outside of Scripture. He was, after all, a living, thinking, emotional human.
Here are just a few examples...
"As Jesus went on from there, he saw a man named Matthew sitting at the tax collector’s booth. “Follow me,” he told him, and Matthew got up and followed him."
"After John was put in prison, Jesus went into Galilee, proclaiming the good news of God. “The time has come,” he said. “The kingdom of God has come near. Repent and believe the good news!”
As Jesus walked beside the Sea of Galilee, he saw Simon and his brother Andrew casting a net into the lake, for they were fishermen. “Come, follow me,” Jesus said, “and I will send you out to fish for people.” At once they left their nets and followed him."
“What do you want with us, Jesus of Nazareth? Have you come to destroy us? I know who you are—the Holy One of God!” “Be quiet!”
said Jesus sternly. “Come out of him!”
"Jesus replied, “Let us go somewhere else—to the nearby villages—so I can preach there also. That is why I have come.”
“See that you don’t tell this to anyone. But go, show yourself to the priest and offer the sacrifices that Moses commanded for your cleansing, as a testimony to them.”
... and many, many more. These are just a few examples from the first to Gospels; it took me 5 minutes to find them.