Yes. If the US economy takes a significant hit from global forces like the eurozone crisis, that poses a challenge for President Obama. He isn't to blame for challenges overseas; but history suggests that many Americans would "vote their pocketbooks," as the saying goes.
Europe's crisis might also remind voters of America's looming debt problems. Republican challenger Mitt Romney can claim the Obama administration has failed to address the issue (while Mr. Obama will point an accusing finger at the Republican-controlled House).