Hi fozalec
Yes, you can, though you will have to give a reasonable explanation for why you didn't do it within the first month. The DWP does not have to accept your reason - though if they refuse you can still appeal as long as it is within the 13month deadline.
You can read more details in the Guide to PIP Appeals which has the information regarding Mandatory Reconsiderations.
www.benefitsandwork.co.uk/help-for-claimants/pip BIS
BIS