No.
The SanDisk App does NOT access the Intenet. It is only for accessing the Wifi drive only over the drive's own WiFi signal transmitter.
Why the paranoia over security and accessing the Internet?
Your security concens are coming through loud and clear and seem overreaching and/or of super critical concern or nature?
Are you a government official?
Work for govenment police or a sensitve government/military agency or military division?
Work for Private sector online security agency or underground government agency?
Work for private manufacturing company that has high security and other NDAs?
Work for an entertainment agency or film compnany/effects company the has high security?
Some sort of computer hacker?
What gives with all the security concerns?
If you have concens about the Wifi aspect of one of SanDisks drive, I supplied you with another SanDisk option that is a direct conncted drive to the iPad that may or may not need an app to singularly access this drive.
In any event, these drives use apps that accees the storage drive only.
There is no Intenet connection being made to these drives. These storage drives and apps do not send any data or pesonal info out to the Internet, at all.
These drives are portable, personal drives that no one has accees to, but you.
The app, also, may have a piece of software that allows password/passcode encryption of the drive, also, if you are concerned about the security of the data on those drives.