You can’t get an IVA in joint names. But if the best solution for both you and your partner is an IVA, you can each set up an IVA
These can be linked or ‘interlocking’ IVAs where they’re administered together and you make one joint payment between you. This helps to ensure that the contribution each person is making to their IVA is affordable, taking into account the amount both of you are paying into the household.