I want to know if beet juice without the beets is available for making pickled eggs
The "juice" in a jar of pickled beets is pickle brine and flavors leached from the beet by the vinegar. To replicate in bulk, without wasting a lot of beets, make a batch of pickle brine following any recipe that tickles your fancy (lots of them on the internet!), and then add beet puree or juice to suit. You can make your own puree by roasting, blending and then straining beets, and juice by doing the same to the beets raw - or just send them through a juicer if one is handy.