Is there a way to see how many likes someone has given?

Maybe this, if you have it turned on to show reputation on profiles.

Thanks, to be more clear, maybe a way to see a list of people and the count of the likes they've given.

Not that I know of. You can look at their activity on their profile, and I believe that will show likes they have given interspersed with their other activity. It will not, however, show a count, and it isn't a list of lots of people.