A quick yes/no question

No

You can set up a ring that's larger than 4 3 stair warps though, but you can only have 3 stairs on the screen.

If you do have a ring with more than 4 destinations, when you go into the 3 stair warp, the next 3 destinations in the list will be the ones you can access.

BTW, the destinations of the stairs is dependant on where they are on the screen. Any stair on the left side of the screen will take you to the next destination, any in the middle 2 rows will take you to the 2nd destination, and any on the right will take you to the 3rd destination.