Yes!
And if you are using Heat Tape Pro on your roof / eave to resolve an ice dam issue, you should use heat tape to make sure there’s a clear path through your gutters for water to escape your roof. If you don’t do that, the water could just refreeze in your gutters. You also want to get the downspouts too.
Be careful if you plan on using heat tape Only in your gutters.
There is a common misconception that gutters are a root cause of ice dams. This misconception can lead people astray when creating their strategy for ice dam deterrence. If you have an overhang on your roof (an eave), the chances are very good that you problem exists on your roof before the gutter.