In most cases, yes — proper attic insulation combined with ventilation correction eliminates or dramatically reduces ice dams. The goal is to keep the roof deck the same temperature as the outside air. If the roof stays cold, the snow doesn't melt unevenly, and ice dams don't form.
Insulation does most of the work, but it needs ventilation to back it up — soffit vents pulling cold air in, ridge vents letting it out, so any heat that does reach the attic gets flushed before it warms the deck. Most Twinsburg homes built before 2000 are well under the R-49 target, which is why so many of them dam every winter. We check insulation level, ventilation balance, and air leaks together, because fixing one without the others usually disappoints.