Absolutely! Pip had great expectations of a good education, good marriage (his hopes lay with Estella), and a good life due to his secret benefactor.
Miss Havisham had great expectations--for her marriage which sadly ended at the alter--and also for her adopted daughter, Estella. Of course, she did not realize at the time that her actions sabotaged those hopes for Estella.
Joe had great expectations for Pip--his only true friend, and then again for himself and Biddy after Mrs. Joe passes away.
So many characters in the book had expectatons for their lives, their marriages, their families, their futures. Not all of those expectations were realized, but they were expectations, nonetheless.
The title is appropriate.