Can you reload a Rails app on Passenger in the same seamless way as you can reload one on Unicorn?

Question

With Unicorn, you can restart and reload a Rails app with kill -USR2 [master process], which doesn't kill the process immediately, but starts a new master process + slave processes in the background. When the new master is ready, you can shut off the old master with kill -QUIT. This lets you restart your website without having any visitors notice a slowdown in request handling.

But with Passenger, you restart the Rails app with touch tmp/restart.txt, which as far as I can tell, causes the Rails app to become unresponsive for the few seconds it takes to restart the Rails application.

Is there a way to use Passenger, but also have the Rails app restart seamlessly?