The short answer: Yes.
I'm at the bottom of a seniority list. Here's my situation: I'm on reserve and can't hold a line, so anywhere I go is completely at the company's choosing.
As one gains seniority, the ability to hold a line and start getting choosy strengthens. Then you can start picking your favorite overnights and/or lines with the most days off.
In this business, seniority is everything - it governs your ability to do anything: flying, non-revving (if there's not enough seats, the most senior get the seats), as well as bidding for vacation, upgrade and regular training events.
Junior trips at my airline are generally low-credit four day trips. Three days and naps seem to be the desirable ones. Many of the three-day trips have high block hours and the naps pay more than you fly owing to our duty rigs.