By lagering a cider, do you mean to simply ferment it at a relatively low temperature?
If so, then yes, in fact that's the preferred method of fermenting cider. Most ale and wine yeasts work fine at those temps since apple juice is made entirely of easily to ferment simple sugars. Carbonation is the same as beer, bottle carbonation and keging are both viable options.
In all the states no door stands wider,
To ask you in to drink hard cider