No.
Power banks cannot charge 12V lithium batteries, because they usually only charge cell phones, and the voltage of cell phones is around four volts, while that the nominal constant voltage of lithium batteries is 12 volts. So this is not possible, but if the output voltage of the power bank is 12 volts, then everything is fine, as long as both voltages are the same. This means that the capacity of the power bank must be greater than the capacity. of the lithium battery, otherwise the lithium battery cannot be powered. The battery is fully charged.