Not a single prophet will dare to say this and has not said this, for the maximum a prophet would say, is that "God's words [revealed to me by Inspiration] will not pass away", as David says in Psalms, but not that "my words will not pass away", for the prophets are not fountainheads of the truth, but only servants and mediators of truth, of divine revelation. Refute me, please, and show any prophet who said anything like that, I will be surprised if you will not fail utterly finding any such heedless prophet.
On the contrary, Jesus, unlike any prophet or unlike any angel of a highest hierarchy, knows the Father as is known by Him /John 10:15/, i.e. eternally and entirely, to the effect that He is the Fountainhead of all truth alongside with the Father. That is why also Father can be known only through Him (Luke10:22) and the Son can be approached and understood, only through the Father (John 6:44; Matthew 16:17). When Father creates universe, He cannot do this unless together with the Son (John 1:1-3) and when Father reveals anything to prophets, He can do this only together with the Son.
Therefore, Jesus speaks "My words" with a divine authority as not an inspired prophet, but as the very Fountainhead of the truth. All prophets and all Jewish teachers and rabbis quote the inspired precepts of Law, whereas Jesus, authoritatively, unlike any prophet, changes the very wordings of the Scripture ("It is written, but I say..." (Matthew 5:21), because He is not a slave of the letter of the inspired words, but as their Principle and Inspirator (alongside with the Holy Ghost) has divine authority to change them. That is why all Jews are scandalised, for He does not speak as a slavish quoter of Bible and its interpreter, with no authority to dare change the very quote of the God-inspired Scripture, like Scribes and Pharisees, but changing the very quotes "with authority" (Matthew 7:29), as the Inspirator Himself, and the Inspirator is God.
Again, if the words spoken by Him are truth and divine, i.e. above the created universe, necessarily, and even more, He also is divine and above created universe Who is the Source of those words, because always source is either greater or at least equal to of what it is a source. And this Source of eternal words is Jesus alongside with the Father.
Therefore, yes, those words are a clear claim that He, Jesus, is God.