To the OP yes as they've stated general "poop". T's void waste much like birds and reptiles having no separate "liquid" from "solid" systems so it all comes out in one big "splat"
What you see, in reference to the "eggs" are the nitrogenous wastes the spider has excreted. Sometimes it's more a pasty liquid and other times, as in your picture, they are hard nodules. Nothing to fear and everyone's asked a time or two in their keeping career. Quite a thing to see initially especially if your not certain
Oh and double check Cody's recommendation NOT to eat them as caviar