It depends on your autoplay setings for that drive on that laptop.
it should ask you what you want to do with that drive when detected. If you have already selected something like 'Go ahead and run those programs', then yes, it could try to run on your PC. It is likely to bomb out on your machine though and cause no harm.
Should. Likely. There is no certainty in those words.
I have used the batch file method to recover a choked PV+ many times and not had any problems, but our accounts always default to prompt the user when new media is detected. so it does nothing on the laptop unless you double click it. I don't recall the exact script, but I think it will error out at the first attempt to read some invalid reference or execute some command from the WindowsCE world.