Could the British Empire keep expanding to world conquest?

At its height, could the British Empire have kept expanding until it conquered the whole world?

Theoretically it could keep building from maritime routes and Asian resources, but governing and policing the result would be vastly harder than acquiring strategic ports.

In this account, Britain's historical priorities centre on controlling trade routes, ports, and the surrounding land needed to protect them. Its hypothetical expansion starts with India, then imagines conquering China and drawing troops from both countries for further campaigns in Asia. Shipping would supply those forces, while client relationships in South America might be converted into closer control. Parts of Europe and the United States remain outside that imagined system. This is a theoretical sequence, dependent on earlier conquests succeeding and their resources becoming available. Administering and policing the resulting territory would demand far more effort than the trade-route strategy Britain is described as preferring.