As i know, an android data transfer app could transfer data between android device and computer in few steps.
You should transfer data from sd card to computer first, then transfer to the android phone.
Once created the "LOG.TXT" file, I wonder if I can send this file via bluetooth (HC-06) to an Android device.
If the hardware is connected correctly, paired to the phone which is running the correct application, and you write the code correctly, yes you have our permission to do that.