No it's not possible - unfortunately.
But you can set your system date and time ahead and that will output at that date.
Hope that helps.
I am looking for the same exact function, as I'm sure many people working for a daily newspaper that creates pages for publication the next day is. This seem like such a simple variable, I cannot understand why Adobe has not added this. Searching the web, it seems that there are scripts that can be installed, but I think that is too complicated a solution for something that should be so easy. Above suggestion of changing clock on computer seems extreme as well. The OP's suggestion of adding a +1 to the day in the variable field would be so easy, I would think, for Adobe to implement. Or just to add "Day after Output Date" as a choice of variable to the date options.