Hello willvv
Yes this is possible, but you'll need to install the HPC Pack client tools on the remote computer (computer "A" in your example).
Once installed you should be able to start the HPC powershell console & run something like
Get-HpcClusterOverview -Scheduler <headnodename>
Get-HpcJobHistory -Scheduler <headnodename>
There was a good post on the Windows HPC Team Blog some time ago which develops this concept...
Also, check this out for a potential installation issue which may require fixing before remote powershell cmdlets will work correctly
Hope this helps
Dan