Not regularly - and I think that someone in this forum more knowledgeable than I suggested that it will overcharge the battery if left to charge fully - so, if that’s correct, best to know how long a full charge as per the charger’s LED takes and then always take the battery off charge somewhat before that (could use a timer between the power point and the charger I guess).
This is one of the differences between charging internally and charging externally. Internally, you have a chip controlling the charging process where you can communicate with the chip and alter its parameters (at your own risk of course).
Long term it would be great if Purism could source and sell a suitable external charger - and I would have bought one with the phone if they had done that at the time.