Rather than exporting/importing individual files, you want to import the entire project at once...I think.
Cubasis/Cubase does this but I only have Cubasis so I don't know how well it works, but two things are needed:
Project Export Function in Cubasis
Cubasis Project Importer Extension in Cubase 8 or above.
I imagine the importing and exporting is done over WiFi...or a USB cable? Anyway...
Cakewalk may have something like this in development but I have no way of knowing for sure.
If Cakewalk made such a product for iPad for Sonar, I would buy it.