Can a faulty power cord cause a compter to power down at random?

[JustAName]

I ask because I think that's what's behind my computer powering itself off from the main desktop today.
Order of events:

- Go to turn on my computer, sees its not powering on after pressing the button.
- No problem, this has happened before, but not for a few months. Reaches back and pushes the power cable back in/ move the wire a little until I can turn the PC on.
-Pc turns on. Clicks the proper user, desktop appears, nothing unusual.
- Walks away for about 10ish seconds, comes back to see the computer powered off with the monitor saying what it usually does when I manually power down the PC.
- I turn if back on and it's been working for the past hour. Nothing in the event viewer, no mini dumps, Already set to not auto reboot on BSOD.

I just want to first see if the events that happened can possibly/likely be the cause of said power cord before I go any deeper to figure out the cause of the reboot. If there is anything you need to know or which I should check because it probably wasn't the power cord giving my PC the power it needs, please don't hesitate to post.

 

[Tmagic650]

If the desktop computer's power cord was conically loose, an electric spark between the power cord and the power supply, could have eventually damaged the power supply or even the motherboard...