That's not possible. Abdul Hamid was considered by a very few people as an usurper not against Abdul Aziz but against his brother Murad, who was in no mental condition to rule. But in any case, the Egyptian ruler's legitimacy was based entirely on his status as deputy of the Sultan.
The change of Sultans was handled smoothly with an absence of violence with overwhelming consensus in the bureaucracy, military, and populace in general. In any case, if some bizarre set of circumstances made this type of scenario possible, the Powers would step in to enforce the Status Quo.
Finally, the chances of any Sultan appointing one of his own relatives as ruler of Egypt, which would provice a fine powerbase to challenge his control over the entire empire, is zero, beyond what the reaction of the powers would be.
I suppose a prince of the imperial dynasty COULD end up vizier of Egypt - Mehmed Ali's hereditary rule there was hardly the original plan of the sultan, so if we get rid of him earlier, and end up appointing a member of the dynasty, perhaps as a last desperate move to bring the province under proper control, then later moves towards Egyptian autonomy could end up in effective indpendence. Something like the deposition of Abdulaziz could spark a revolt in Egypt against Abdul Hamid who is seen as usurping the throne, and this could lead to a rival sultan in Cairo
Best Regards
Grey Wolf