Yes, but quality steels like that were incredibly rare and expensive.
The average man and woman had only tools from very crude, simple steels.
And worked well with them.
Of the tens of thousands of Norse iron/steel implements found, only a few (less than 200 found) luxury swords were made from quality steel, steel made (possibly) by Franks in Germany.
The Ulfberht swords.
No knives or other bladed implements were of this steel.
The thoughts are the crude steel implements were made locally, either from local (bog iron)
material or traded or conquered stuff, reshaped locally.
Of course, the steel was still superior to the Roman or post Roman steels.
A knife made from lesser quality steel can still be useful and fully functional, so the effort the OP intends to put into it is not wasted.
Just carry a small sharpener.
He never mentioned he wanted to do any blacksmithing, just cutting and shaping existing steel?
Wootz - we still do not know how they made it. What is called Woitz today displays different metallurgy than the real Wootz. Many have claimed to have replicated it though.