I remember being in college and being able to listen to half the weather satellite signal with my handheld radio (it was quite a bit wider than my radio could handle with just narrowband FM receiver). It felt super cool to have that level of access to what such an advanced piece of tech was seeing. Is it even possible for an amateur to listen to these new birds or are they so complicated only NOAA can process the signals?
NOAA publishes specs (and/or even provides software, IDR) for these satellites.
So yes, if you're willing to set up the antenna and receiver, you can demodulate and decode the data yourself.