Nope
Vfd have their working range
Example 1000-3000W everything over or below won't work
That's not set in stone as it depends on manufacturer. Its similar to the way some 3 phase VFD's can be run from single phase (with appropriate de-rating) and some can't.
My milling machine has a HY02D223B rated at 2.2KW/11A, you set the "nameplate" voltage and current. As far as the manual is concerned there is no minimum for that current setting! I've seen a 0.75Kw run fine of the exact same VFD.