Introducing Chinchillas?

I currently have a four month old female chinchilla, but am interested in getting her a buddy. I've had her for about a month now, and she seems to be quite bored in her cage at night, despite all of the attention I give her.

I've read about introducing new chinchillas, and everywhere I've read that you should house them in two separate cages, but I can't really afford to buy a second one. I currently have a double story critter nations cage, and each section can be closed off.

So my question is, if I close off the top half from the bottom half, could I house the new chin on the top half while they get used to eachother?