Yes you can copy a Status Report.
First, create a new Status Report by filling in just the mandatory fields then Save.
Then, within the Status Report you just created, go to the Actions drop-down in the top-right.
You should see "Copy" - click on it.
You should then see a list of Status Reports you can choose to copy from.
When the Status Report data has copied you can edit the results as required.
Hope this helps.
Regards,
Steve