I work a lot with remote servers. I locked myself out in a similar way once or twice before. I felt like the dumbest person alive every time it happened.
I changed some of my router's VPN settings from abroad once because it wasn't performing as expected.
To apply the setting (through the GUI), I remembered you had to press the stop button and then the start button (there was no restart button in that menu). Guess what happened.
You actually can stop the time by snapping you fingers, but it stops time for the entire universe, including yourself, with the exception of one single observer on some unimportant planet in the Andromeda galaxy. After 100 years from the POV of that observer, time resumes again.
We could have a whole vent diagram of people than stop time, start time, or be immune to it. Imagine just going out for drinks with friends when times stops. But this has happened before so you walk across town, go in some dudes living room, and force his fingers to snap.
“Ah! Oh it’s you. Time stopped again?” “Yup” “Alright. Well hopefully whoever’s stopping time this time doesn’t REALLY like to snap.” “Hopefully. Well might be seeing more of me again. Bye!”
No. You would have to snap ~25000 times, for the light originating from there, to even reach you (Assuming, that light is unaffected by the time stop).
This hypothetical scenario assumes that stopping time is universal and instantaneous. Simultaneity in two reference frames, even when that doesn't make sense. Someone on earth snaps their fingers, and in that same instant, some unwitting observer spends 100 earth solar cycles in frozen, abject terror.