Short answer…. NO, you need to camp at your assigned sites.
Several reasons –
– treks are balanced out so as not to overload in number or activity a given campsite (trail or program based doesn't matter).
– should a situation arise and Philmont needs to make contact with your unit…. you wouldn't be at your assigned site. (This has happened and immediately becomes a 'search & rescue' event for however many people are in your crew!!) Don't think only emergencies from home, but also think of camp emergencies – wildfire, near by animal issues, weather issues, etc…
– given that there are only 35 treks, much of the staff (that needs to know) will know by heart where you are at on any given day of your trek – when you alter the trek they nolonger know where you are.
Longer answer…. on occasion (but not often) Philmont will approve a program change in logistics before you hit the trail (but don't count on it, mostly for above reasons).
Does staff actually 'check on you' in trail camps – no, but there may be staff joining you in any given camp. (not actually camping with you)
Looks like you are looking at Trek 8 – There is no reason you can't do the hike you describe…. you just need to start from Comanche.
Sorry for the thread drift, but another thing to consider is something that I have never seen in all of the literature, but becomes a huge factor in a trek….. Where you will be MENTALLY as a group in your trek…. day 3-4 is what I describe as 'the wall'. This is the breaking point for crews, the realization that it is no longer a 'weekend campout' hits home, homesickness issues tend to hit hard here, and group dynamics have developed past the 'forming' stage and into the 'storming' stage (regardless of how well aquainted you are as a group). There is a psychology to the layout of each trek – harder days strategically placed with easier day vs layover days.