You have to bring the entire mixture to a temperature of at least 170 degrees F. for at least 20 minutes. Although tomatoes are acidic, they can still harbor harmful bacteria, which you destroy with heat. You should also sterilize the jars and lids and the screw-on rings before you fill the jars - which you do by completely immersing the clean jars and caps in boiling water.
You can't cut corners when canning. You could inadvertently poison someone by serving home-canned food that isn't properly preserved. For young children and older folks, that can be fatal...and sometimes, even for hale and hearty twenty-somethings!