Hi and welcome to the forum.
Does the message sy the Project cannot be found or that the report or model the project refers to cannot be found?
The information in the project file will set the location for the report and models and they will be local to you (presumably) and likely will not me accessible from the other user's account.
I would assume that it will still run for you.
You would need to make the Report and Model available somewhere that is consistently available for other users on the network.
If the problem does not relate to eiother of these ideas we will need to think again ...