Of course! She's one of the main characters.
You just need to initially make some choices that are pleasing her, then you'll lock onto her route once the whole story starts rolling and you can make her gain with the correct choices afterwards!
Viewing post in Expanding Universe: A Filling Journey comments
Spoiler ahead:
Try telling Perlene you're looking forward to your next meeting.
As to the maid, there are two opportunities. One is for example to tell her that your walk with Rosalind was a little bit romantic. Then you have to be on Emilia's route. And when she asks you if you're in some kind of palace romance, ask her back if she wants to be included!