Is a double modal pop up a concern?

What I mean is that say you select something on a webpage. It serves you a modal pop-up form to complete. On this form is a date-picker which would serve another full screen (on mobile) modal pop up. It feels a bit like pop-up inception. I’m wondering though if it is a major usability concern or not?

My hands are tied because the pop-up form is a standard pattern in this project but I’m trying to implement a custom date picker that will work on all scenarios.