You could initialise the vector by giving it two iterators, like this:
std::multimap<std::string, std::string> bar;
...
std::vector<pair<string,string> > foo(bar.lower_bound("123"), bar.upper_bound("123"));
but that would give you a vector of pairs (ie, with both the key and value).
Another option would be to use std::copy
with something like a back_inserter, which is another way to hide the loop, but with the same downside as above.
std::copy(bar.lower_bound("123"), bar.upper_bound("123"), std::back_inserter(foo));
This would append the elements (if any) to the vector foo.
For extracting the values only, I can't think of any way but to loop over the results as I'm not aware of a standard way to get only the value out of a range.