Yes, there are reports of limits in the size of a data file that can be imported in one go. You may need to split your file into smaller pieces and import one such file at a time to import all the data into your file.
For More Information see: Import of a large CSV file halts after 4GB
This is one of many acknowledged bugs that can be found in the Known Bug List thread here in the Report an Issue section of the forum.
It can also be downloaded as a database file from: https://www.dropbox.com/s/jt09b82i0xijbu3/FMP%20Bugs.zip