The crankcase filter catches the little droplets of oil borne on the gasses created by the same oil sloshing and whipping around in the crankcase. There is a replaceable filter that uses an element to trap the oil and allow it to trickle back to the crankcase, this filter also traps some dirt. There is a one time replacement filter that uses a distillation technique (for lack of a better term) that allows gases to pass through but the oil drips back down to the crankcase.
If you run without either of these, the atomized oil and gasses would probably just coat the underside of your hood and engine. Great for rust prevention, maybe, but not for keeping things clean.
Short answer: you probably *could*, but why would you want to? They aren't *that* expensive. If you're not willing to pay for a part that's meant to be replaced at quasi specific intervals, what other maintenance issues are you not willing to pay for?
Th he problem is I am on the road I have a rear structure leak and I noticed oil in the hot side of my CAC wich I believe is being caused by the filter needing to be changed. I am heading to the house ware I intend on repairing the rear structure and filter plus s new oil pan I just font want to go to the dealership and buy one..I will buy one online and have it at the house when I get there...