In world 1-1, is it possible to reach the goal while you're in the background?

In world 1-3, there's a secret warp whistle you can find by crouching on a white block, which makes you drop into the background after a while. If you get to the goal behind the black wall, you enter a toad house with a warp whistle.

In world 1-1, there's a white block like that as well, and it also allows you to drop into the background, however it's at the start of the level, far from the goal. Is it possible somehow to reach the goal of that level before the invisible timer (for when Mario goes back into the foreground) runs out? And if yes, what do you find there? Another warp whistle?