I assume phones or tablets with wireless charging can charge while working.
I don't know of any other solution. Once I opened the cover and connected a source of 1.5A directly to the battery and after a few hours the device showed that the battery is low despite the voltage on it was 4.2 volt which means fully charged. I concluded that Android don't measure only the battery voltage, it also measures the time that your device is on.
Android don't include in its software the ability to read more than 1 USB, so all have only 1.
In a few days I will add a Bluetooth version, with that you can charge while communicating.