It looks like many Trophy hunters seeking to increase their Trophy count will be sorely disappointed, as a translated post via the PlayStation-CS blog in Japan has confirmed that there will be no inclusion of Trophy support in the newly announced PSP Remaster series.
While there is no official reason as to why Trophy support will not be included, it has been speculated that the cross-platform saving feature is to blame, as hacked PSPs would enable players to obtain Trophies with little effort.