Hi,
Does an acclimatizing hike count as "trail entry" for our permit day?

we have two families hiking together as one group. We were lucky to get our overnight permit for a Wednesday. One of the families would prefer to drive to Whitney Portal after school on Wednesday, arriving around dusk. (they live above 5000' so have less acclimatizing to do).

With our Wednesday permit, is it possible for us to do something like the following?
- one family picks up permit, hikes up to camp at Lone Pine Lake or Outpost camp
- second family hikes up Thursday a.m. to meet us and we continue to Trail Camp together

OR
- one family picks up permit on Wednesday, does acclimatizing hike to Lone Pine Lake or Outpost, return to sleep at Whitney Portal, everyone hikes Thursday

thank you!