I doubt it. For the simple reason that right now foreign policy is just about the least important issue for the US electorate.
Really, Romney, if it weren't for the horses, should have just stayed home and stumped some more in the battleground states. This was a wasted trip for him.
In London he was supposed to show off his prior experience in running an Olympics and to show off his international acumen. In both he failed. Miserably. He offended the hosts, and looked like a fish out of water. Just look at that picture some posts back: he looks like he shat himself but is trying desperately to put a brave face on it!
In Israel I suppose he was trying to woo the Jewish voters. He showed himself inept again, and frankly, it doesn't matter much. I guess he did it for Florida and Sheldon Adelson. For the latter he turned diplomatic flattery into low-down inane grovelling. For the former the major issue is still the economy anyway and Israel a long way down the list. The press in Israel being what it is (vicious), he pretty much got slated when he started kissing Bibi's arse, and tried to tie US foreign policy to Bibi's 27% party's policy. Shutting out the press from everything didn't help either: what about all that transparency then?
In Poland he was probably trying to go after the Catholic vote. Well, that didn't work our too well either, they basically showed up with Ron Paul banners, and 'Solidarity' said thanks but no thanks for his endorsement the moment they found out he is big on going after the unions in the US. Meanwhile the only news that leaked back to the US is that another 'aid' went nutty and started cursing out the press.
Way to make friends Romney!
All in all though, none of this will have moved the needle much if anything in the US. He tried to copy Obama's (in comparison) rapturous welcome abroad from 2008, and he failed and got nothing in return at home and a lot of doubts about his ability (even sanity) abroad. Moreover, he showed that when it comes to foreign policy he basically has no game whatsoever. It almost looked like he forgot to do his homework assignment. So much for the Republican strongpoint then. It may not 'trickle down' to the voters, but really, he should have just stayed home and stumped some more in the battleground states.