Yes, you can import shapefiles in Fulcrum through the data importer in order to create or update records.
Shapefiles are composed of minimally 3 separate files —.shp, .shx, and .dbf—(and usually more), all of which are required to create valid spatial data. To import into Fulcrum, create a .zip file containing all of the relevant shapefile pieces. They should all have the same base file name.
Once you have a .zip with your shapefile’s contents, upload to Fulcrum using the importer, and it will automatically extract and analyze your shapefile to process for import. Fulcrum will also attempt to reproject your file to a standard projection during import.
To learn more about the importer, please check out the following article:
Notes
If you don't have "Advanced Geometry Enabled?" active (in Location Settings of the App Builder), the shapefile with line or polygon data will be imported as a centroid for the record location within Fulcrum.