No. You cannot register your plot, because it is such a small area; specifically it is defined as a “souvenir plot”.
‘Souvenir’ plots of land have been sold in Scotland for over 30 years. The sale of these plots is governed by the Land Registration (Scotland) Act 1979, recently revised as the Land Registration etc. (Scotland) Act 2012. Please note that this act does not permit souvenir plots of land to be added to the Land Register.  Read more about souvenir plots of Scotland.