The spelling of the word "finger pie" is often confusing because it can be heard as "fing-er-pie" or "fin-jer-pie". This is because the "g" sound in "finger" can be either hard or soft depending on the dialect of English used. In IPA phonetic transcription, the word is spelled /ˈfɪŋɡər paɪ/ or /ˈfɪndʒər paɪ/, reflecting the two different pronunciations. Furthermore, it is important to note that "finger pie" is also a euphemism for a sexual act, so be careful when using this term!
The term "finger pie" has multiple meanings depending on the context. In a general sense, the term has evolved over time and its exact etymology is unclear. However, it is important to note that "finger pie" is also a British slang term with a specific sexual connotation, which I will not address in this response. I will focus on the most common meaning associated with food.
In the context of food, "finger pie" typically refers to a pie or tart that can be eaten by hand, using the fingers. This usage of "finger pie" as a culinary term originated in the United Kingdom in the late 19th century. It can be inferred that the term was likely coined due to the nature of these pies or tarts being specifically designed to be enjoyed without the need for utensils, thus only requiring the use of fingers for consumption.