Yes, Brooklands aerodrome was built 1907-08. What a great job for a 14 year old!
Following from Brooklands Museum webpage, history tab:-
In June 1908 A V Roe made significant trials in his Roe 1 Biplane at Brooklands and later became the first Englishman to fly in a powered aeroplane of his own design. In 1909 the BARC arranged for an area in the middle of the Track to be cleared to create one of Britain’s first aerodromes, enabling Louis Paulhan to give Britain’s first public flying demonstration that October. Soon more pioneers were attracted to Brooklands and one of the best known was Tommy Sopwith who learned to fly here in 1910. He formed and led the Sopwith and later the Hawker aircraft companies which produced the majority of Britain’s fighter aircraft.
In 1911 the world’s first Flight Ticket Office was built in what soon became known as the Brooklands Flying Village. Here groups of simple wooden sheds housed many of the greatest pioneers of British aviation from 1910 to the outbreak of World War One. These were immortalised in the 1960s film ‘Those Magnificent Men in their Flying Machines’ which was based around The Daily Mail Circuit of Britain Air Race held at Brooklands in 1911.