My personal sense is that people could survive the trip. The Mars Reconnaissance Orbiter took about 7.5 months to get to Mars, and the typical mission on board the ISS is about six months.
One difficulty is being able to get the people back to earth after landing on Mars. It's harder to get off of Mars than the moon because it's gravity is stronger, and it has an atmosphere (hence air resistance). Transporting enough fuel and having a powerful enough rocket to get back into space is a big issue. That's not to say we can never figure it out, but that's one of the big show stoppers, right now.