Sure, you can delete it. It takes some special steps, but it’s not really all that difficult.
The issue is that you probably don’t want to.
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Virtual Memory is disk space Windows uses when it runs out of physical memory, or RAM. When computer activity puts RAM at a premium, some of the contents of RAM are written to the paging file. If that “paged out” memory is needed again, other RAM contents are written to disk to make room, again in the paging file, and the previously written information is read back in.
It’s how your computer juggles a lot of demands for memory without dropping any, and pagefile.sys is the file where Windows keeps track of it.
Note that pagefile.sys is a “system” file. In order to see the file in Windows File Explorer, “Show hidden files and folders” must be enabled and “Hide protected operating system files” must be disabled.
Now, since the file is being used by Windows, you can’t just delete it. It’ll either tell you “permission denied”, “file in use”, or something similar. Extra steps are required.
Playing with virtual memory
You may notice that pagefile.sys is roughly the same size as your configured virtual memory settings.
This leads to our first way to get rid of it: set your Virtual Memory to zero, and reboot. Once you return, Windows will no longer be using the file, and will let you delete it. (You may need to run Windows File Explorer as administrator to do it.)
If you have enough RAM in your system to handle the amount of memory needed to run the programs you run, you may not need virtual memory at all. That happens to be how I often run.
Note, however, that pagefile.sys will return if you re-enable virtual memory.
Playing with a different operating system
The other approach to deleting pagefile.sys is less useful, but I’ll include it for completeness: boot into another operating system, and delete the file.
Quite literally, if you were to boot from a Linux “Live” CD, and explore your Windows hard drive, you’ll find, and should be able to delete, pagefile.sys.
We’ve done exactly what you asked for, but there’s a problem.
As soon as you boot Windows, if you have Virtual Memory configured, pagefile.sys will return.
Bottom line: let Windows manage the file
Ultimately, unless you have some reason to be playing with your Virtual Memory settings, or know that you can run without Virtual Memory at all, I’d suggest simply leaving the virtual memory settings, and pagefile.sys, the way they are.