Yes, a common construction are these five-over-ones, with a steel-reinforced concrete first floor (for retail) and then wood framed 5-story apartments above.

This podcast goes over what an absolute disaster this type of construction is [0], but for apartments in most major US cities west of the Mississippi, it is hard to avoid _some_ sort of wood framing.

[0] https://www.youtube.com/watch?v=xVodkE47aLw