I think that song is from 1967, so it wouldn't be used for Fallout. The songs used in Fallout are ones during or before the 1950s.
Why not?
*There was a 1967 in Fallout's world, though I doubt there was a Woodstock in '69.
The original Fallout used the Inkspot track as the 'world that was'; all of the music in Fallout could have easily been styled as 50's pop had they wished, but it was apocalyptic/atmospheric to the areas in the game, and had no hint of their dead 50's idealzed 2076. In Fallout 2 the music was tribal; urban; western; eerie-aftermath'ic'; not Buddy Holly and http://www.youtube.com/watch?v=X31GQTS7C1c.
I see no reason against having a 50's inspired 60's or even 80's... just imagine how someone like Bill Haley might sound like singing about radiation or their style of cold war 80's.
Sheldon Allman's
http://www.youtube.com/watch?v=w6AbZ4FN9M4 and his
http://www.youtube.com/results?search_query=%22Big+Brother%22+Sheldon+Allman&oq=%22Big+Brother%22+Sheldon+Allman
for instance
* I see no reason not to have an MP3 player; so long as it was like they would have built it.
http://i271.photobucket.com/albums/jj125/Gizmojunk/trpod.jpg
** Originally it was not about being locked in the 50's; it was about the 50's idealized future ~and that would include a pop 50's envisioning of a laser rifle, a rail gun, cell phones, space stations, bionics, and I would think even music. IMO 50's inspired original music about the topics and events of far later decades (or centuries), would have been equally or more appropriate than licening 40's and 50's music for anything but the title.
(Though I will say I was shocked they did not license http://www.youtube.com/watch?v=fDxfjLnWUkQhttp://www.youtube.com/watch?v=fDxfjLnWUkQ to work in somewhere).
This is cool... its not Fallout related, but I swear parts of it seem like it could have been.
http://www.youtube.com/watch?v=OmQpZ7iYDo