Could the British destroyers have attacked?

Could British destroyer squadrons have made a torpedo attack before or during the battlecruiser action?

Yes, but Beatty repeatedly moved them out of attacking positions, while a radio failure further complicated Tyrwhitt's control.

A viewer proposes sending destroyer squadrons into torpedo position before or during the battlecruiser engagement. The force composition created exactly that opportunity. Every time the destroyers approached an attacking position, Beatty ordered them to move elsewhere. Commodore Tyrwhitt also suffered a radio failure that let him transmit to his destroyers but prevented him from receiving Beatty's calls. Command handling and communications prevented Britain from using its numerical advantage as a combined battlecruiser-and-torpedo force.