NO WAY! Tile board has about 0 strength when top loaded, it needs a soild subfloor and underlaymnet under it.
I'd use Advantec subflooring with constrution adhesive on top of the joist, and screwed down with ceramic coated decking screws every 8".
Then 3/8 or better yet 1/2 A/c subfloor rated underlamnet making sure to not have the seams line up with the floor joist. It needs to be attached every 4" on the edges and 6 to 8" in the field.
1/4" tile board goes down set in a bed of thin set and is screwed down with tile board screws.
All the seams get sealed with webed tile board tape as the tile is layed with thin set.
Joecaption is right, NEVER screw any cement board directly to the joists! Personally, being a "old school" tile setter, I float all my floors. This way you can level and or direct water that makes it outside the shower/tub enclosure away from the cold joint at the curb or tub.