I don't believe there is a maximum size for file transferring. It is a network. As long as there are no data rates (unlimited bandwidth), you are only limited by maximum data transfer rate (EG. 150 MB/s, 300 MB/s etc) of your internet provider.
I don't know the "problem" with large data transfers (only have done small ones), but I don't think there should be too many issues, although
you should listen to people who disagree with me. I don't have much experience with large data transfers as stated above, so people with experience obviously outrank me. I am speaking in a theoretical matter for this question.
I'm assuming your service method is your connection method or transfer method. I think it will be fine (aka yes).
John Price
“Don’t worry if it doesn’t work right. If everything did, you’d be out of a job.” (Mosher's Law of Software Engineering)
“If debugging is the process of removing bugs, then programming must be the process of putting them in.” (Edsger Dijkstra)