Hi BillBagdaddy - and welcome. Absolutely, yes. Yeast ferment sugars and honey has virtually no sugars that wine yeast cannot ferment (unlike barley malt which does have a great deal of sugars that are too complex for wine yeasts (beer yeasts belong to exactly the same family of yeast) to ferment. So, unless the amount of total sugar in solution meant that the amount of alcohol the yeast would produce would kill them (that is to say, their tolerance for alcohol was less than the amount of alcohol the sugar in solution could produce) then your mead is going to finish dry.
Now, if you prefer a sweeter drink you can stabilize the mead with the addition of sorbates and K-meta and then add honey to taste. The addition of both potassium metabisulfate and potassium sorbate will prevent any yeast still in solution from fermenting the added sugars in the honey.