First this is not strictly answerable as diplomatic pressure is usually kept very discreet.
Second, I suspect not. Looking at International recognition of Israel you'd see most European-descent states recognized Israel before the US got to be a very close Israeli ally (which happened in 1967/1973 and after the Suez Canal crisis in 1956 during which the US acted against Israeli interest).
However, Eisenhower (1890-1969) also issued stern warnings to the French, British and Israelis to give up their campaign and withdraw from Egyptian soil. Eisenhower was upset with the British, in particular, for not keeping the United States informed about their intentions. The United States threatened all three nations with economic sanctions if they persisted in their attack.
Sort by de jure recognition date and you see most Euro-descents, including Soviet Bloc and South America, had recognized Israel by 1952, way before this. Greece in 1990 is an exception and so is Germany in 1965 (most more recent entries didn't exist before USSR and Yugoslavia breakups). Spain too, 1986 (good catch, JamesK). From those, only Greece doesn't have obvious reasons for late recognition.
Europeans felt themselves under a huge moral pressure to make a clean break from anti-Semitism and the Holocaust. The Holocaust wasn't just Germany's fault, it was centuries of persistent rumors, religious beliefs, laws, hatreds and persecutions by Westerners that led up to it, even if it took someone like Hitler to bring it to its genocidal conclusion. Any place predominantly European but which included some Jewish people probably had some skeletons in its closets.
Now, if your question was extended to recent Arab recognitions of Israel, then yes, it would be hard to argue that the US has not had huge diplomatic impact. But to Euros? Doubt it.