First thing I habitually look for are egregious overhangs… stuff that extend straight outward, like the bill of a baseball cap, would absolutely need supports.
In the posted picture, I’m not detecting any massive areas that reach that threshold (at least not on rudimentary visual inspection).
If printed on resin (SLA) machines, I’d estimate a 90% chance it’d print as-is… so long as the toe area was well-anchored to the build-platform. The first several layers in a SLA print are often over-cured to anchor more resin… this would result in losing the filigree detail, but with a better “toehold” anchor, I’d be less concerned about having to even support the sole-arch and heel area. Based on SLA prints I’ve observed these past 5 years, I’d expect that unsupported region to grow intact and the rest of it to go uneventfully.
At worst, 3-4 support shafts in strategic regions of the sole would be prescribed if failure is detected early.
Both my SLA machines are configured for jewelry-sized prints. If your intent is life-sized there should be StereoLithography machines capable of such a build envelope.
I wouldn’t figure filament-type FDM machines to print the unsupported example with anywhere close to the same success rate.