Sure you can - for the right mini.
Airbrushes make priming and basecoating a total breeze, and then you can do something called zenithal highlighting, which I'm still learning, but works very well for anything that's mostly one colour (see the Terror Tot below, for instance). One trick when zenithal highlighting is to use slightly different colours to increase contrast. So for instance, when spraying that Tot, I basecoated in bright pink, but I didn't use dark pink for the shadow coat. What I did was to mix the pink with a little blue, to create more of a purple. I think this is called colour temperature highlighting / lowlighting or something like that. I learned it at an airbrush session I took with a Golden Daemon-level painter.
Even with stuff that's multicoloured (character model-type stuff), an airbrush can be useful. I like to prime, then spray many models in a fleshtone for instance, so that the skin areas are nice and flat, and I know they extend to the very edge of the hairline, etc. Makes painting eyes a bit easier when the paint underneath is perfectly smooth.
Airbrush wise, I use an Iwata HP-CS, which is a great, if slightly expensive choice. You'll also want a compressor with a number of features, including:
-An air tank (to avoid pulsations).
-An adjustable regulator (to allow you to spray at different pressures).
-A moisture trap (so your paint doesn't get contaminated).
I use a Badger compressor, but I think it's a rebranded Chinese item which is widely available.
Initial setup costs are not cheap, but this will save you time and money in the long run if you use a lot of rattle cans currently. The Iwata brush I mention will probably get handed down to grandkids too if I ever procreate. It's a real quality piece of kit.
Anyway, here's one of my Terror Tots, which was actually the first Malifaux mini I painted. I've been doing Warhammer stuff on and off since I was a kid. This was probably 80% airbrushed (all the skin), with just the details painted by hand. I also sprayed the base black using an airbrush, and then painted the other tiles in bone: