Genie+ selections you get what's currently being distributed with no way to select a time. If you want it to be later, you have to keep refreshing until people have booked earlier slots and the time advances to what you want.
The only thing you can specifically select a time range for is Individual Lightning Lane purchases (aka the "fancy rides"). But if it's for something that sells out quickly (like Rise or Guardians) it might still end up later than you choose by the time you tap through the first couple screens as time slots get snapped up.
There's also one other way to force a ride selection to be 2pm or later. If you have a park hopper and you try to book a time slot at a park *other* than the one you have a park reservation for, it will force your selection to the first-available post-2pm slot.
-Rob