I DIDN'T READ IT
It is possible within the Bluetooth specification to have a Bluetooth master device connected to multiple slave devices, but there are limits:
> Prior to Bluetooth spec. rev. 4.1, Slave devices could only be connected to a single piconet at a time. The reason for this is because when the connection is initiated, the advertising device must synchronize it's clock to that of the initiator. So, a slave device cannot be synchronized to two independent free-running clocks at the same time, hence the one master per slave limit. Bluetooth 4.1 addresses this, so a slave device can be connected to two piconets simultaneously, however I don't know the exact details of how.
> The Bluetooth device you're using must be running a stack that supports multiple concurrent connections. Many Bluetooth stacks do support this, but there is a limit on how many devices can be connected at the same time, and the limit is usually related to the amount of memory available on the Master device.
> The type of connection you're using must allow for multiple instances of that connection on a piconet. This is easiest to explain by example. You can only have a single Bluetooth audio connection for music streaming. The reason for this is that the A2DP profile for audio streaming is designed to have only a single connection active at a time. So you cannot connect your smartphone to two Bluetooth speakers at the same time.
Given all that, you also need an interface to the Bluetooth device that allows you to setup multiple connections. So while this may all be theoretically possible, if the devices interface/software was not designed to allow for two connections at a time, you're out of luck.