As Natronics has said elsewhere, "It Depends".

Consider the comet, with a tail of ice and dust blasted off the elliptically orbiting body. This "tail" is of water vapor boiled off the celestial body and dust particles carried in the gaseous stream.

A question also to ask: where in space are we considering this body? If shielded from heating from the sun or other bodies (the earth radiates, although much less loudly than the sun, so even orbiting our planet there's a heat source to consider) the ice-ball (assuming a complete solidification, or that we placed the ball in space already frozen for convenience's sake) will still sublimate slowly. Sublimation is the name for the evaporation of solids directly to gas, without transitioning through the liquid phase. Sublimation rates are a function of primarily heat but also chemistry. For example, dry ice, CO_2, (S) goes directly to gas.

As mentioned, sublimation is a function of heat. Bodies further from the sun and other heat sources will sublime more slowly, witness: the asteroid belt. Massive amounts of ice out there. Not subliming very quickly. Also, much further out along the Sun's light intensity dropoff curve. Bodies closer to the Sun, or radiating bodies like the Earth (or, I'd wager but don't know for certain, our moon) will sublime more quickly.

I also mentioned setup-specific chemistry as a factor in sublimation. If the bonds between liquid components are strong enough at low temperatures, you could establish parameters for a liquid-solid that would sublime at a rate measured in centuries or greater.

It might be possible... If the temperature is not low... However, I think most of the liquid will turn into gaseous state in vacuum.

I would think that any liquid within a vacuum say, space, would be turned into a solid due to the extreme ~2.7 kelvin temperature.