Can manual transmission + rear wheel drive handle snow condition?

If you put sandbags in the trunk and be delicate with the throttle you should be fine.

No reason why not! The question is can the Driver handle the vehicle in snow? Your the only one that can answer that.

It kind of depends on the car and the tires. The older rear wheel American sedans with thinner tires tend to do OK but you should invest in a set of tire chains.