No, you would have to do the Math yourself, which with rounded shapes can become complex fast.
You could use a dotted stroke with 1 minuscule dash and a huge gap (or trim paths) to get exactly 1 dot, which can move around with the stroke’s or trim’s offset, and then do sourcRect or SampleImage voodoo to find the position of those pixels.
Depends on what you want to do with the pointOnPath result.