Yes, you can certainly do this. But if you want it to expire, you'd need to put the offer within one of your episodes. 

If you are not selling this offer as a membership, we recommend that you do, so that everyone will get a username/password combo. 

When they login they could see this OTO page right away, and you could have it expire after 2 days. 

The way to do this is to add a new episode and add your OTO to it. Then make it expire after 2 days. Also checkmark to make it the “default" episode, which will mean it will be shown right when they login. 

Keywords: OTO, redirect