YES, you can power a CPAP machine with your device.
The HULKMAN jump starters are set at a 12V DC output port, so you can use the cigarette lighter adapter to power the CAPA. However, before using it to power your device, please fully charge the jump starter for a longer use time.
However, your own devices sometimes may fail to be powered:
You’ll see a charging error on your own charging devices when using the 12V DC output port with your fully charged HULKMAN Alpha jump starter.
When the HULKMAN Alpha jump starter is fully charged, its output voltage will be higher than 15V, sometimes even higher than 16V. When your own charging device detects the input voltage being higher than 15V, it will trigger a built-in over-voltage protection automatically, which may cause your own devices from being powered.
Therefore, if your own devices fail to be powered, please avoid powering your device with a fully charged jump starter when using the 12V DC output port.