It'd help if we knew whether you're Navy or Marines.
Navy - no, not really. It has been done and will be done in the future, but it's not at all common. It's not like you email the detailer and tell him you want to be a FAC/JTAC. Based on conversations with some of the guys who've done it, getting attached to the Teams as a FAC is like becoming an astronaut - there's a long process of resume-building and pissing excellence required to even be considered. And once you disappear down that hole, you're never coming back to 'regular' Naval Aviation. That being said, those guys I met didn't mind that part at all...they'd gone native and had the surfer-hair, big watch, terminal tan thing down pat.
There are ANGLICO billets...I even knew a SWO who did it, and was getting ready to jump into Haiti before the invasion was called off. But there aren't that many billets, and it's even more of a rabbit hole than NSW.
As noted, yes, Marine aviators (pilots and FOs) are expected to do air officer tours as part of normal career progression.