Probably not.
Could not specifically identify the baby monitor set that you have - who is the manufacturer?
The camera side would need to have an ethernet port and have some built in means to reconfigure the camera from wireless to wired.
Then run an ethernet cable from the camera to the router or an access point.
And then you would also need some software driver/application for that camera on your computer that would receive the camera's output and turn it into a usable image.
All of that is built into the existing baby monitor system (camera/screen). Not really made to be modified in such a manner.
And quite possibly designed to prevent such modifications - just a a matter of liabilities.....