Question about Philips Hue Lightstrips Base

Officially, as far as I know (I'm happy to be proven wrong), no.

In reality, the power supply unit has a 12 volt output (direct current) - i.e. with a bit of tinkering and the appropriate knowledge, something could be done, e.g. with a lithium ion battery. with a lithium ion battery ... but whether it's worth it is another question - especially since on the one hand there may be more than just the current in the power supply (I don't know) - and on the other hand there are also other, cheaper LED strips with batteries (but not in the Hue system and probably not with the same function/quality of light).

On the other hand, the strip could certainly also be connected to a portable power station with a socket - e.g. from the camping sector - but these are usually not exactly cheap...