Yes, it's the materials that determine if it can be vaped or not.
Kanthal: wattage only
SS: either mode
Nickel or Titanium: Temp mode only
Ceramic: depends on a lot of factors.
Sometimes finding a drop in coil that will do TC in tank can be a challenge, although more makers are offering it these days.
If you are into RTAs or RDAs (building your own coils) I might use SS wire, IMO it's the best as it's slightly safer and can be used in wattage OR temp mode. If you go even further and decide on exotic and/or twisted wire, the center wire is what needs to be the TC wire, but those coils can function in TC mode.
Never use titanium or nickel in wattage mode, they can give off undesirable byproducts or even melt and etc.
Best of luck,
Anna