Transfer Samba files directly to Rasberri Pi's own disk space?

I’ve recently been able to get Samba to work with some help on here, but buffering is a huge problem, my Rasberri pi is seeing files on my Ubuntu PC over WiFi.
I’ll try to solve that later, but for now, is it possible to just copy and paste them right to the Pi and walk away till it’s on the Pi so no buffering problems?

Yes, if you have the space

Doesn’t display the option.

Who or what is not showing the option?
If you have the Samba Server installed on OSMC just open it via Files -> Netowrk