I may have responded to this point elsewhere but haven’t found it yet so my apologies if that is the case.
The short answer is yes if you’re willing to bring the dongle in to it, but, there are a few steps.
I haven’t tried pairing with more than one device just over Bluetooth.
The Swiftpoint GT comes with a wireless USB dongle which takes preference over Bluetooth. The dongle also does duty as a magnetic storage and charger.
I use the Swiftpoint GT mainly on an Asus laptop at work. Secondarily I use the mouse with an iPad mini 2 through Jump Desktop to the aforementioned Asus or a MacBook Pro.
To connect to the Asus I take the mouse off the charger and turn the mouse on.
Going to the iPad I open Jump Desktop, take the dongle out, power cycle the mouse and while it connects to the iPad I jump the TextBlade (using a secondary pairing if connecting to the Asus). TextBlade is much faster at connecting but they’re both ready within a few seconds.
To switch between iPad and Asus jump the TextBlade, plug the dongle in to the Asus then power cycle the mouse.