The online booking system will allow your party in a 2 bedroom at BCV. (I just gave it a try). So the answer to your question is yes.
That said, IMO, you will be very crowded in that villa. There are only two bathrooms, and you will most likely end up in a villa that has one queen bed and one queen pull out sofa in the second bedroom. (I assumed you will have to book at 7 months and that the villas that have two queen beds in the second bedroom would be gone). However, you could end up in a two bedroom lock-off which has one queen bed and one double pull out sofa.
If I had to book a 2 bedroom for your party, I'd strongly consider AKV -Kidani or BLT. Those 2 bedroom villas are larger and have three full bathrooms.
We recently stayed in a 2 bedroom at AKV-Kidani. We had 4 adults and two 5 year olds. Even though we did not have to use the living area for sleeping, it was a bit "chaotic" at times. Ideally, I'd recommend 2 one bedrooms for your party - one per family. If you stayed at AKV or BLT, you'd each have two full bathrooms in the 1 bedrooms.
I know points can be an issue, so if you can stand close quarters for the length of your stay, I would strongly recommend the 2 bedroom at AKV-Kidani. It was great to watch the animals from the balcony and the kids really enjoyed the pool. Bus service was surprisingly good - and there is a real-time electronic display in the bus shelter that tells you when to expect the next bus to your particular destination.