I remember a houseguest who redistributed multipurpose contact lens in a small generic looking squeeze bottle. That sort of violated every rule I ever rule I ever learned about contact lens sanitary practices, but I suppose he never had an issue. The main issue is that every time you rely on the disinfectant in a CL solution to kill microorganisms, it depletes some of that disinfectant. When you keep on using a contact lens case, the disinfectant is actually disinfecting the interior surface of the case.
Still - I've heard that even saline can actually disinfect a contact lens if kept in contact long enough. I remember using one type of saline that used the same preservative that's the disinfectatant in most contact lens disinfecting solutions - Bausch and Lomb Sensitive Eyes Plus. It contains polyaminopropyl biguanide, which is a preservative and disinfectant, but in about 1/3 the concentration of most disinfecting solutions. Not many people do this any more, but an old recommended practice was to store a contact lens in sterile, preserved saline after being disinfected. The idea was that even if it got contaminated a little bit during transfer or when the case was opened, the preservative in the saline was enough to keep it disinfected.
That being said, the last time I got some sample contact lenses, the eye doc handed out several 2 oz bottles of contact lens solution. Just saline doesn't usually come in this size though, and the smallest size I've seen is 4 oz. Most people who use saline go through lots of it, and 4 oz wouldn't be enough.