Two speed motor so no you can't use an inverter.
What you can do is get a rewind company to just connect it in delta, use one winding and fit the VFD then you can over speed it if needed on the VFD.
Reason I say get a rewind company to do this is they can do this with their eyes shut but if like most motors it has a connection diagram inside the terminal box post that here and someone will be able to help
Fitting a single phase motor will work but you are then limited to single speed, a VFD will give you variable speed and be much smoother for about the same price.
Where in the UK are you ?