It is canon that they have a 24th century LCARS version of Remote Desktop.
In TNG’s “Unification Part 1,” the admiral which briefs Picard about his mission specifically tells the computer to create a connection between the computer terminal in Picard’s ready room (i.e., the one that looks like a laptop) and a secure computer system off the ship that has the classified image of Spock on Romulus.
It does bring up an interesting question. Do you recharge PADDs and Tricorders? Like is there a station where they put them when they’re running low to recharge the batteries?
Or is it one of those things where they just stick it back in the replicator to be dematerialized and replicate a new one?
Also, it seems like a PADD can only deal with one topic at a time instead of being loaded with multiple things, since we’ve seen them make a joke out of a character being overwhelmed with info and having to read multiple PADDs worth of stuff,