Perhaps the professional advise quoted is realistic (to forget it), but it may not be as problematical as that. It appears to be an 8 pole motor, but by making the windings of every second pole able to be reversed, it goes from NSNSNSNSNSNSNSNS to NNSSNNSSNNSSNNSS, effectively four pole. The switched windings are the least of the problem, both ends of each of these are already able be isolated.
So reconfiguring from star to delta only depends on whether the un-switched windings can be readily converted. If so, it should be able to run from a VFD, but with the vital limitation that power must be completely removed before the pole change switch is operated.
Not a project for the faint hearted, but it might be well worth investigating for someone who values a challenge. In checking things, a suitable low DC voltage applied to the winding(s) can allow a small compass to be used to plot pole position and polarity.