Word with -ee as a suffix
Solution 1:
The answer is No.
Firstly I think your surmise is too general. Only sentient beings can have that suffix. We wouldn't say that a nail is a hammeree.
The suffix 'ee' comes from French. Initially only adopted French words used it, e.g.
fiancée (fr.) becomes fiancee (eng.)
The usage has spread but I think there's a limit. For example take the English verb "to boot". I don't think we would call someone who got booted, a 'bootee'.
bootee
- a baby's soft woollen shoe.
- a woman's short boot.
Google Dictionary
Also some words, particularly those of a German origin simply sound ridiculous if "ee" is added, e.g.
We don't seriously say that someone who has been kicked is a kickee.
EDIT
Ugh! I see that some online dictionaries do indeed have 'kickee'. I'm quite disgusted at this barbarism but there you are.