Not that I am aware of. The mad minute was more a US thing where they did a clearing patrol by firing with every thing they had as fast as they could for a minute. Hoping to clear any enemy from in front of their pits. The British Commonwealth Forces used this method to fend off mass frontal assaults. Firing went on for as long as it was needed. A minute was the benchmark for judging the rate of fire, that is where you might be confusing a mad minute. The recorded record as far as I am aware is 60 rounds on target at 100 yards in one minute, held by a British Warrant officer. How ever there are reported case from the Gallipoli Peninsular of higher rates of fire. Of course the targets were closer and getting closer so plenty of practice and adrenaline may of helped.

I know the ANZAC's at Gallipoli used this method to good effect. I believe all Commonwealth troops were trained in this method of firing the SMLE. Probably the reason the Germans, after their first serious contact with the Tommy's, reported that all the English were using machine guns.