According to: https://learn.microsoft.com/en-us/troubleshoot/windows-client/networking/internet-firewalls-prevent-browsing-file-sharing
The following protocols and ports are required to access the files:
Microsoft file sharing SMB: User Datagram Protocol (UDP) ports from 135 through 139 and Transmission Control Protocol (TCP) ports from 135 through 139.
Direct-hosted SMB traffic without a network basic input/output system (NetBIOS): port 445 (TCP and UPD).
And according to: https://github.com/projectkudu/kudu/wiki/Azure-Web-App-sandbox
Regardless of address, applications cannot connect to anywhere using ports 445, 137, 138, and 139. In other words, even if connecting to a non-private IP address or the address of a virtual network, connections to ports 445, 137, 138, and 139 are not permitted.
And therefore I guess it is technically not possible to access the file share (unless the file share could run on different ports which I guess is technically as well not possible).