Absolutely!
Whether it's the 'egg song',
or 'call for cock/erel'(tho I doubt this cause he never comes and I've never seen a mating directly prior to laying),
I frequently hear this vocalization prior to laying, especially if there's a 'that's MY nest' confrontation or in newer layers...also hear the bitchbitchbitchbitch that I hear in your vid.
Have also heard that the 'egg song' is a 'hey flock I'm done laying, where did y'all go while I was sitting on nest'.
