In principle, yes - anywhere you already have a "network" socket, you could put a camera. If you need more connections that there are existing, then you can plug a switch in - that's how modern ethernet networks work.
Power can be a bit tricky ...
Many cameras are PoE, but you do need to understand the specs. "Standard" "active" PoE (proper name 802.3af) can supply up to 15.4W of power, 802.3at (PoE+) can supply up to 25.5W. There isn't a lot of 802.3at stuff about yet, and it carries a price premium over the lower power standard.
More about PoE at
https://en.wikipedia.org/wiki/Power_over_Ethernet
There is also passive PoE where the power supply is just stuffed onto spare wires in the cable and picked off at the load end. There is a small risk with these of plugging "the wrong thing" into one or other end and causing damage - the power supply does not check what it's supplying, just stuffs the power in. Many use 24V, but some use 48V, and some use 12V or even 5V - I think you can see the potential for mismatch if care isn't taken. Passive PoE generally doesn't have the same power limitations - but the flip side is that the cable and connectors have limits to how much power is put down them without damage. Part of the 803.3 PoE design process was working out what power level was practical - wear and tear on connectors when unmated while carrying power, heat generated in cables (in commercial environments, the cables may be in very large bundles), and so on.
There are some "interesting" pitfalls to look out for with active PoE. For example, someone at work was helping a customer setup a PoE IP camera and found it stopped working every night - only to come back to life in the morning

Yes the camera was PoE - but only if you didn't use the built in IR illumination which took it over the power budget (the fix waas to use a local power supply). So yes, you need to read things carefully - such details are often not overtly stated. So you may need to use local power, either for the whole unit, or perhaps just for the IR illuminator if it has one.
IR illumination is used for "night vision" - when daylight goes, IR (Infra Red) LEDs (or on older setups, or ones needing lots of power, a big light bulb) is used to illuminate the scene with IR so that the camera can still show you a black and white image.
Just for fun, it's possible to buy network switches which are themselves powered by an upstream PoE supply and which can supply PoE to downstream devices. Obviously, they can't supply more to downstream devices than they have left over after taking their own power requirements from the upstream supply - there might be enough budget for an 802.3at powered device to power one 802.3af camera and maybe have enough left over for one IP phone (they generally take a lot less power).
Caveat, I'm in IT - not a CCTV or Security expert.