Tbub- you are not the first person to ask, I remember reading something like this awhile back, however I can't for the life of me remember what the conclusion was. I think that it would be improbable because most mysis are freshwater (don't hold me to that).
JBDreefs- The trick to freezing stuff like that is to do it quick so that no ice crystals form, the crystals will rupture the cell walls. A lot of times the material is soaked in glycerine to remove as much of the water as possible and then dunked into liquid nitrogen. This tidbit will be forever seared into my memory as I hiked up a freaking mountain carrying a 25 L dewer of liquid nitrogen so we could sample different brook trout genetics. The entire time the fisheries biologist going on and on and on about what happens to different parts of the fish as you freeze them and there was no break for the entire climb. Meanwhile I felt like I was having a heart attack due to the shear exhaustion from climbing at least 3000 ft elevation and the hike, the entire time wishing that I could dunk his head in the liquid nitrogen just to get him to stop. Ohh... good times.
Sorry a bit more then what you asked for, chances are that the eggs would be damaged unless specially treat them first ... ignore the emotionally scarring back story.