Planning & Building permission would have been needed to build on any land - if the rules were the same in 1928 as today.
Not every Local Authority will keep all the plans they have ever received for development and the PLANNING ACT only came into effect in 1948 after which there was a requirement to keep details of all applications and a map for identification for use by the public.
Much will depend on how the authority treated its older applications, pre 1948 and what has happened in the various re-organisations in recent years.
One LA in which I worked took a 10% sample of each year's applications for archiving and dumped the remainder (after a suitable time lapse).
In another, when still the office junior, I was given the task of sorting all the plans, which were kept in various places in the office attic and in a variety of sizes of envelope, and matching them to the relevant Registers- took me ages but we finished up with a system where it was relatively easy to help such enquiries as this one.
I think rural authorities were much more lax in their approach to keeping records than larger Urban authorities.
So it just depends how the systems were managed. And I think these days with most authorities there will be a search fee to pay!