Was Jesus an adherent to 'Sola Scriptura'?

Protestants are going to say yes. Catholics are going to say no.

I presume any Christian is going to consider this question equivalent to, "Is the doctrine of Sola Scriptura true?" I mean, who is going to say, "I am a Christian, I believe Jesus to be the all-knowing God made flesh ... but when on this very important point he said X, he was completely wrong."

Jesus was tempted thrice by the Devil and he responded three words that defeated the Devil: "IT IS WRITTEN." ~ Matthew 4:1-11

Jesus never did refer to oral traditions in a positive way.Rather, every time he defends truth he refers to the scriptures:

Thus you nullify the word of God by your tradition that you have handed down. And you do many things like that." (Mark 7:13)

"What is written in the Law? How does it read to you?" (Luke 10:26)

Jesus said to them, "Is this not the reason you are mistaken, that you do not understand the Scriptures or the power of God? (Mark 12:24)

But Jesus answered and said to them, "You are mistaken, not understanding the Scriptures nor the power of God. (Matthew 22:29)

"What then is this that is written: 'The stone which the builders rejected, This became the chief corner stone'? (Luke 20:17)

"How then will the Scriptures be fulfilled, which say that it must happen this way?" (Matthew 26:54)

Timothy knew the Holy Scriptures since childhood. What is this Holy Scriptures? Is it the 39 books? Is it the Septuagint or is it the Hebrew Texts?

One thing is for sure.There existed the Holy Scriptures that is God-breathed and Timothy knew it since childhood according to Paul.

15 And that from a babe thou hast known the sacred writings which are able to make thee wise unto salvation through faith which is in Christ Jesus.

16 Every scripture inspired of God is also profitable for teaching, for reproof, for correction, for instruction which is in righteousness.

17 That the man of God may be complete, furnished completely unto every good work.

2 Timothy 3:15-17 (ASV)

It says "EVERY good work" not "SOME good work."Hence, Sola Scriptura (Scripture alone), showcasing the Scriptures as the only authoritative revelation God has given to his church for teaching and deciding matters of faith [doctrines] and morals [ethics].

What this shows is that Sola Scriptura existed in the first century. Jesus is the model whom Paul followed on this principle and this is substantiated by this instance recorded in 2 Timothy 3:15-17.

We need to start by bearing in mind that during Jesus lifetime there is no set Bible as such. There are collections of scrolls in synagogues but the ones that would eventually be considered canonical by modern Judaism were not set at that time (canonicity in Judaism slowly distilled between ~200BC and ~200AD). You would get different stuff in different places, some were widely accepted e.g. the Torah, some version of Isaiah etc. others not so much - e.g. the writings. In this context perhaps it is difficult to define what Sola Scriptura really means.

The Biblical Jesus is well-versed in the OT (Luke 2:41-52). However, often presents the anti-thesis to these Biblical texts in his own teaching "You have heard it said but I say to you ".

On the whole it seems pretty unlikely that Jesus subscribed to Sola Scriptura as we understand it.

The answer is simply: No. One way to prove it, is to take the verse where Jesus says:

"Whoever listens to you listens to me. Whoever rejects you rejects me. And whoever rejects me rejects the one who sent me." (Luke 10:16)

That means, that whatever the apostles say, is Jesus' teaching. Then we can take Paul's words to the Thessalonians in chapter 2 verse 15:

"So then, brothers, stand firm and hold to the teachings we passed on to you, whether by word of mouth or by letter." (NIV)

This is saying to hold to the scriptures and oral teaching. One link that might prove helpful is here, asking: "Sola Scriptura vs. the Magisterium: What did Jesus Teach?". One that deals with just Sola Scriptura can be found here.

One link that might have an answer, says:

Did not Jesus say, "Go therefore and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, teaching them to observe all that I have commanded you. . . ." [Matthew 28:19] Of course this admonishes them to teach; it says nothing about writing. And the Bible itself says nothing about it being the sole source of God’s revelation.

Anyways, that is just my opinion and it may be a little biased. One thing to think about, is that for the first couple hundred years, there was no "New Testament". The last of the gospels by John, was written by A.D 85 or later.

I agree with you that:

If a person teaches something contrary to Scripture, they are wrong.

But sometimes things may seem contrary and actually be true to each-other. Here is a link that explains some things that seem to contradict each-other in the bible, but just need a little explanation (I know that that is both sources from the bible, but it is basically the same).

And just to let you know, I'm not Roman Catholic.