With multiple synchronized receivers you can build a passive radar.
Single reflections can easily be spotted by just staring at the spectrum (Doppler).
An easy start is always looking at VHF reflection of strong transmitters that are not creating a lot of noise (like FM stations). ILS or VORs stations are classics.
There are also a lot of meteor and space radars ( https://en.wikipedia.org/wiki/GRAVES_(system) ). Universities are super happy in publishing very very detailed (https://www.iap-kborn.de/en/research/department-radar-remote...) specs of their sky radars. And frequencies are well known for ages.
In theory, yes but it's supposed to be pretty tricky. Since it looks like you're up for making antennas, maybe this is for you:
https://britastro.org/wp-content/uploads/2021/03/SmallApertu...
Vela is the "brightest" pulsar but is only visible in the southern hemisphere. B0329+54 is the "brightest" in the northern hemisphere.
Optical astrophotography has stacking software. Radio astronomy has a counterpart in folding software.
My main goal is to detect the hydrogen line, or maybe some distant/noisy object (can amateurs pick up pulsars?). I also want to understand antennae much better, and maybe make a wire fractal antenna. I have a crazy idea about making a 3D fractal antenna-making bot from Lego or something! :D
(I'm not under any illusions about whether a fractal antenna is "better" but I just like the idea of them)