Is it possible to move IVA Debt Solution companies?

In theory its possible but in practice it would present far more problems for you than any benefit you would gain.

You would be far better of to address your dissatisfation to the IP (Insolvency Practitioner) and try to get your issues resolved. Don't be fobbed of by case managers etc, insist on talking to the IP.

Changing IPs whilst in your IVA Debt Solution is a notoriously difficult, lengthy and expensive process.

The only way this can be done is by the resolution of creditors at a variation meeting, which needs the agreement of your current IP, or a Court Order. This will be nigh impossible to do, and costly for you at a time when all of your surplus income should be directed to the creditors