the German armies invaded Belgium and France and were going hard for the English Channel.

Historians are quite clear that Britain had to resist them.
We were treaty bound to defend Belgium, and our own security was seriously threatened.

Do you believe that Germany in 1914 would have been able to cross the Channel and invade England?

Britain was treaty bound to defend Belgium but Germany was also treaty bound to respect the neutrality of Belgium. I agree that Britain had an obligation to Belgium but in the real world of global politics I don't believe that qualifies it as a No Choice situation.