I wonder if there's a chance I could meet a celebrity.

Literal

Famous-people [with-と] become-acquainted chance [subject-が] exist-[wonder-かしら].

かしら ('I wonder') is the stereotypically feminine counterpart of かな — both used for self-reflective wondering. 有名人 ('celebrity, famous person') and 知り合う ('become acquainted') are common vocabulary. A dreamy casual musing.