Yes, melomels can and often do go dry. The dryness or lack of residual sugar is a function of the ABV, type of sugars used ( not usually an issue in mead/wine unless we are speaking of braggots), nutrient availability, and yeast choice. Looking at the details you have provided I see no reason why your mead should not eventually go dry unless it gets stalled out for one reason or the other.
How long has it been sitting at 1.010? What kind of yeast nutrient did you use? Did you sulphite or sorbate the mead? Just estimating from your SG and current gravity I have you sitting around 10%, well within the range of the EC-1118. It is possible it ran out of nutrients, however, this late in the fermentation I am not sure how well using non-organic nutrients would help.. But, it might be worth a try.