The short answer to the question is: Yes, you can ;-)
The longer answer is much longer, since there are many ways to do this.
The one I personally would choose as the simplest is classic Bluetooth (not LE) using the SPP profile, which basically makes the BT link a serial connection between the RPi and the phone.
On this serial link you invent you own streaming protocol suitable for the data you want to transfer.
On the RPi side you install a module such as this: https://www.sparkfun.com/products/12577
(There are many alternatives, but the RN42 module is very foolproof...)
Don't know the level of your hardware skills, you might need something more plug and play if you feel uncomfortable hooking up the 4 wires needed for 3.3V power and serial communications between the Pi and the BT Module...
On the phone side you install https://github.com/don/BluetoothSerial, which gives you an API reachable from Ionic where you can receive the BT data stream.
With that and a bit of coding on both sides you are good to go.