By adding ammonia you'll precipitate bot Iron and chromium as hydroxides.
Chromium hydroxide is soluble in excess ammonia (Chromium hexammine complex)
In theory it does, in practice, chromium hydroxide is not soluble in excess ammonia. It takes weeks to dissolve all the chromium hydroxide, this reaction is extremely slow. The solution, obtained, however, is quite nice, it has a nice purple color.
If you want to separate iron from chromium in solution, use sodium hydroxide instead. This forms iron hydroxide and chromium hydroxide. Iron hydroxide does not dissolve when more sodium hydroxide is added, chromium hydroxide, however, dissolves again, forming a deep green solution of chromite ion. Let the precipitate of iron hydroxide settle and decant the green solution.
When nickel or cobalt is present, then these also are separated, these do not form soluble salts in highly alkaline solutions.
The green solution is a very strongly alkaline solution, containing chromium (III). By carefully dripping in acid, until a precipitate is formed again, the chromium (III) can be concentrated. Add so much acid, that a green/grey/blue precipitate is formed and the solution obtains a pH somewhere around 9. Then let the precipitate settle and decant the liquid. The precipitate then can be dissolved in a small amount of acid, to get free aqueous chromium (III) ions.