S3: "Redirect all requests to another host name" over HTTPS

I created an S3 bucket and enabled "Redirect all requests to another host name" under "Static Website Hosting".

This works and when I visit http://ift.tt/1Qb7Qhu, I am redirected to my end destination.

If however, I try to access the same URL over HTTPS: http://ift.tt/1exerHw, the connection times out.

Is it possible to specify an SSL certificate to use so that the redirect can handle HTTPS traffic?