Highly unlikely unless we were seeing Germany in complete collapse which would have been unlikely in 1942 or 1943. While the time between Dunkirk and D-Day did of course give the Germans time to prepare defenses, the Western Allies were in no real shape to launch a major offensive in Europe. The invasions of North Africa were largely unopposed, and those that were opposed were mostly by French troops loyal to the Petain government and were mixed levels of resistance. The US Army still had much to learn being inexperienced in war as battles like the Kasserine Pass showed.
The mistakes made in the invasion of Sicily and Italy were lessons well learned by the Western Allies, lessons that if they had not been learned might have spelled disaster against German forces in France. They were also chosen as places the Western Allies could come to grips with the Germans and their allies and make some progress in the war effort. In the end, they assured the safety of the Suez, led to the drawing off of German strength elsewhere, gave the US particularly valuable combat experience, allowed the Western Allies to show they were engaging the enemy, and in the end provided a few victories to keep the moral of the folks at home up.
The number of troops needed in North Africa and then Italy were much smaller than what would be needed to fight beyond the beaches in France and neither the US nor the UK were prepared to be able to send that many troops ashore nor support them logistically (in terms of ships, supplies, landing craft, etc).
The raid on Dieppe in 1942 shows exactly how unprepared the allies were at that point and if they had gone forward with a major invasion prior to learning the lessons of Dieppe it might have spelled complete disaster for the war effort in the West.