ΔE 21.6, loose: different enough that you should pick on purpose. Phthalo Green is a little darker, more saturated, cooler than Dark Imperial Khaki.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Phthalo Green is a little darker, more saturated, cooler than Dark Imperial Khaki.
The same difference applies the other way round: Dark Imperial Khaki is a little lighter, more muted, warmer.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Dark Imperial Khaki on the colour wheel See Phthalo Green on the colour wheel
All matches: Dark Imperial Khaki equivalents · Phthalo Green equivalents