Wireless Bluetooth connections are not provided, but most bluetooth speakers also have a wired connection which will plug into the 1/8 " output or to the 1/4 " output with the right adapter. I am using a Bluetooth speaker wired to that 1/8 " headphone jack.
Yes, you can power the Microfreak with a USB connection. I can power it with my laptop or a charging adapter. You cannot listen to it through the USB connection on a computer. In the back is an older type USB jack that used to be found on printers.