Cobalt blue on neutral-cool, muted skin tones (Soft Summer)

The answer

No. Cobalt blue sits well outside the Soft Summer palette. The nearest thing in the palette is #748088, ΔE 23.6 away. 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 cobalt blue scores across all twelve seasons

Cobalt blue is an opinionated colour: True 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.

Soft Summer sits 7 of twelve at 41, 51 points behind True Winter. That gap is the honest size of the compromise, not a verdict on the colour.

• True Winter: 92 (ΔE 3.2).
• Bright Winter: 79 (ΔE 8.5).
• Deep Winter: 74 (ΔE 10.3).
• Soft Summer: 41 (ΔE 23.6) <- this season.
• Light Spring: 0 (ΔE 43.8).

What to wear instead

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

• #748088: mid-tone, a grey (ΔE 11.4).
• #6E8288: mid-tone, nearest common name grey (ΔE 12.8).
• #7C8B94: mid-tone, a grey (ΔE 9.1).