By permission do you mean to be able to open the wallet?
Both read and write to the file. If you right click it and choose Properties, there should be a tab labeled Permissions or Security and there you can see whether your user has the permission to read and write to the file.
And would you be able to suggest what may have caused this condition to occur? The wallet on this client is encrypted and is on my own personal machine. I haven't attempted to open the wallet in months but I have access if needed.
Copying files from different machines can result in conflicting file permissions.
Could this be an attempt to open the wallet from someone connecting to my node?
Also, I did not think anything of it at the time because nothing seemed to happen but I did hook up a 21bitcoin computer to this computer about 4-5 days ago just to see if there was anything I could do with it but there did not seem to be any prompt or files I could see so I unplugged it and thought nothing more of it. Could it have begun to try to access the wallet because of the mining chip days later even if it wasn't connected anymore?
No.