Redundant Landline Cable

Hello,

My landline connection was switched to VOIP a while ago.  The old wiring from the brown VM wall box to the old BT master socket is redundant and is looking a bit sad and tatty.  I'd like to remove it if possible.

My question is can I do this myself?  I've stripped out all the internal phone wiring with the exception of the master socket and would like to finish things properly.

Chris