water will be recycled, no need to store it, just refine your piss and youv'e got NASA spring water!
Food can be dehydrated and stored as well, the prospective travel time to Mars is only 9 months to a year, well within the capabilities of our technology right now to send a small crew there and back with no major storage problems.
cryostorage however is probably the only way that humans will make it to even the nearest star systems, until Cochrane invents warp drive after WWIII