I know it sounds like a weird question. I had always just assumed that Airborne was just...well, Airborne. However, I was recently watching footage of the invasion as narrated by Jack Lieb in which he recounted being on landing craft with elements on the 101st. I tried to find some information on this and I cannot find anything. I included a link to the footage below, and he mentions the 101st around 7:50. Regardless, it's pretty interesting narration and footage.
So most of the 101st Airborne elements landed by parachute or glider in Normandy. However, those men in the video definitely have the correct 101st Airborne division shoulder patch. Furthermore, their helmet insignia, the club, marks them as members of the 327th Glider Infantry regiment which is an element of the 101st Airborne during the Normandy campaign.
The parachute regiments of the 101st, the 506th, 502nd and 501st parachute infantry regiments, all made the Normandy air drop on the 6th of June. The 327th Glider Regiment seems to have come in by sea on the 7th of June or so, and elements of the regiment were in action by the morning of 8th June. Source: U.S. Army History Cross channel attack p. 356-357 PDF WARNING