It's a taste preference, but yes, a martini can be shaken (vs. stirred) prior to serving.
Do you want your martini shaken or stirred?
"Do you want your martini stirred or shaken?"
"Would you like your martini shaken or stirred for the cocktail party tonight?"
I don't believe that the 'Martini, shaken; not stirred' has another name but if it does; it's probably Lancaster.A vodka martini, shaken not stirred, is referred to as a 'Bradford' which is also the name of a city in the north of England.
Vodka Martini (shaken, not stirred) and in recent films, the Vespa Martini
A vodka martini
Vodka Martini (shaken, not stirred) and in recent films, the Vespa Martini
The lady was visibly shaken when that song started.James Bond likes his martini shaken, not stirred.
Shaken not stirred
He drinks a vodka martini "shaken, not stirred."
As James Bond used the expression first then the answer is 007
There is no well known fictional hero in modern culture that takes his martini stirred, not fried. However James bond who is a well known fictional hero of modern culture takes his martini shaken not stirred.