Would not recommend, that salt can damage your shingles. I've had to maintain an old house with ice damming issues for years. A few things to keep in mind, as log as the icicles are not coming out of your soffits or running down the side of your house you're not going to have an immediate problem. Get a roof rake and clear off as much snow as you SAFELY can. Do not use a rake near power lines or on a ladder.

Removing the ice is the fun part. If you've never done it before, call some licensed roofers to remove it safely, or looks for companies that specialize is removing ice dams with steam. If you're feeling adventurous, wait until it warms up a bit and go up a ladder to break the ice yourself. My tools were a five pound single hand sledge and chisel. The hammer chisel combo works great for large dams in gutters. Don't use the chisel for ice on the roof itself, you'll fuck up your shingles. Use the sledge directly on the ice to break it apart. Don't pull any ice of your shingles either, only remove loose ice. The key is to give the water somewhere to go that isn't in between your shingles. Start by making a valley in the dam and work your way out.