Yes. You can indeed do that. I have done it and so have friends of mine. The only issue is whether there is enough room in your freezer.
Also, when I froze my compostables, I didn't bother to thaw them out before using them, just emptied the various bags etc. into the compost and let them thaw in place. Perhaps not ideal but it did work.
Oh, and I didn't have the blender/slushie idea going either, just the basic stuff. With the added water, you might have a leakage issue with that slurry, so make sure your bags are good and strong or use plastic with lids, I'd advise.
