Sprinting does seem a bit much, but I do know that in a much later era, the Swedish army employed Carolean tactics, by which they would advance to point blank musket range, fire a volley or two, and then the pikemen would charge, using their pikes as an offensive weapon. They were only charging a short distance, so perhaps they did sprint, and perhaps this means it would be possible to have used a similar tactic in a different era. However, the Swedes were also not wearing much in the way of armor, which would make charging easier.