> And there's no way to access their script/data on my own Inquisit Player to control their session number for them for that reason too right?
Correct, you have no control over their device(s).
> Actually perhaps a more user friendly way to do this would be we just instead make them a link of a fresh batch script that is their subject ID and is just the session they need to complete?
Perhaps. Do you own sufficient licenses to actually do this?
> Is there any way I could program in a prompt to just enter session on Inquisit Web [...]?
For the sake of completeness, there is a way to build something like this, but it's somewhat complicated and would not use /sessions, but most importantly, it would be fairly error prone: Some participants will
lose track, mistakenly enter the wrong session number and complete the wrong set of tasks.