Navy on cool, light skin tones (Light Summer)

The answer

No. Navy sits well outside the Light Summer palette. The nearest thing in the palette is #8E9299, ΔE 39.1 away, which is one of the four neutrals the season is built on. Under 12 reads as the same colour family; past 25 the two are visibly different colours.

It does not collide with anything on the season's avoid list, so the only question is distance.

How navy scores across all twelve seasons

Navy is an opinionated colour: Deep Winter scores it 92 and Light Spring scores it 0. A gap that wide means the colour genuinely decides something, and getting it right is worth the effort.

Light Summer sits 11 of twelve at 2, 90 points behind Deep Winter. That gap is the honest size of the compromise, not a verdict on the colour.

• Deep Winter: 92 (ΔE 3.1).
• True Winter: 77 (ΔE 9.0).
• Bright Winter: 71 (ΔE 11.7).
• Light Summer: 2 (ΔE 39.1) <- this season.
• Light Spring: 0 (ΔE 46.8).

What to wear instead

Nearest first. These are the colours in the Light Summer palette that get closest to what you wanted from navy, so the substitution costs the least.

• #8E9299: mid-tone, a grey (ΔE 4.7).
• #9FB8D8: light, a sky blue (ΔE 6.6).
• #98BCC8: light, a sky blue (ΔE 7.4).