I'm trying to breadboard LF frequency receiver circuit using AS3933 receiver chip IC and CAS143-147 3D antenna chip. However I don’t understand how can I connect AS3933 pins to CAS143 on a breadboard. CAS143 seems to be a SMD chip but it uses it's own weird pad spacing. I'm wondering if soldering breadboard jumper wires directly to chips pads would work and if not what is a recommended solution besides ordering custom PCB (I'm looking for a cheap and quick solution)?
You can't directly connect those two using a breadboard. They are SMD parts, so you can't connect them to a breadboard.
You can probably get a breakout board that you could solder the AS3933 on to. There are standard parts that should fit, though they might be difficult to find.
The CAS143 has its own peculiar layout for the connections. You won't find a standard breakout to fit it.
The best thing to do would be to make a small PCB. Design it with KiCad or any electronic design package you like, then have a PCB made from any of the commercial services.
If that would take too long (or be too expensive,) then you could try doing it "dead bug" style. That's where you glue the parts on their backs and solder fine wires to the pads to connect things.
"Dead bug" looks like this:
It's rather fragile,but for a one off test of something it can work quite well.