I'm fr indonesia, I will visit harbin 27 dec 2015, with 5 years kid, can.I travel without tour guide

Yes, of course you can travel around this city without a tour guide. Before you start off, you can make a detailed travel plan, which includes routes, transportation, scenic areas and accommodation.
About the weather, the average temperature in December is -5.8F to 8.6F. I'm afraid it's too cold for 5 years old kid, especially when the kid is used to hot weather.