Yes, but. The rule is that to kasher a utensil it must be spotlessly clean. So, if the goblet has filigree or other intricate design ot may not be kashered. Also, if the stem is a separate piece that is screwed on, not soldered, it also may not be kashered.
If the goblet can be thoroughly cleaned, then after it has been cleaned you should wait 24 hours after its last contact with any hot food or liquid. Then you should boil a large pot of water until it reaches a rolling boil. Then the goblet may be imersed and should be left in the water until it returns to a rolling boil. The goblet should be removed and rinsed in cold water. All this should not be done on erev Pesach (not relevant this year).