Absolutely not.
Titanium has absolutely fatal drawbacks compared to steel:
- Smelting/forging is much more difficult because Titanium simply burns when it comes into contact with air at forging temperatures (and requires higher temperatures to begin with, which is a big obstacle if you don't have propane tanks handy ;).
- Getting comparable properties to steel requires alloying.
Your best candidate for weapon smithing would probably be something like https://en.wikipedia.org/wiki/Ti-6Al-4V, which contains both Aluminum and Vanadium; thats absurdly out of reach for a medieval society because they don't even know about elements (much less vanadium, which was discovered in ~1800), and aluminum processing is just... not going to happen.
Its also unclear that even good titanium alloys would be preferable over steel for a weapon/armorsmith anyways:
The main selling point of titanium over steel (corrosion resistance) is not really relevant, and weight is an integral part of any weapon, especially those intended for use against steel-like armor; making those weapons lighter is not really helpful.
And even with armor, as I said-- you need both good titanium alloys (or the material properties can't even really compete with medieval steel anyway) AND forging/melting costs/complexity is MUCH higher. At that point, you would pay a huge premium for marginal gains: It seems very unlikely to me that the required industry/know-how for titanium forging could even develop and/or find any use...
So even if medieval blacksmiths had access to titanium, there is ample reason to assume they would just stick with steel.