I don't really think it's possibly, at least not without some major previous changes to British tank designs and armoured doctrine. The attack at Arras against Rommel's 7th Panzer Division whilst enough to give him a serious scare wasn't enough to completely break through, on his left/to the south travelling roughly parallel you had a second panzer division - without looking it up I want to say 8th Panzer Division, and further to the south of them you had another two or three panzer divisions acting as the outer edge of the sickle advancing along the Somme river to the coast and then up it. There was meant to be a French attack northwards in concert but from what I remember reading it wouldn't have been ready until the following day and the British commanders felt that the situation wouldn't allow them to wait so attacked by themselves, with a French armoured unit covering their left flank. Any prospective attack would have to see the British beat two panzer divisions around Arras and the French another two on their drive north, and even then I'm not sure how long they could hold their ground as you still had the bulk of the German forces advancing from the north-east I believe.
The action at Arras was a damn close-run thing so if the British had been a bit more lucky and an artillery shell or two had landed by Rommel as he was frantically trying to arrange the gun line of 88mm anti-aircraft guns then you could well have seen 7th Panzer Division take a severe mauling and retreat. Trying for 8th Panzer Division would probably be pushing their luck too far. Considering that Hitler got nervous and issued halt orders at several points during Fall Gelb you could perhaps see him call for one after this until the infantry units had started catching up and the situation became more clear - Rommel apparently reported the two infantry divisions and single tank brigade, of whose 74 tanks only 16 had main guns with the remainder being armed with machine guns, who attacked as being five divisions. The British are then able to take the opportunity to retreat roughly north-west to the coast allowing them to potentially use Calais to evacuate some of their equipment and men as well as Dunkirk.