Can CA refuse my husbands request to parole from Indiana to CA?

Request needs to be made and it is up to CA to accept this or not

Can CA refuse. Of course. He has no 'right' to any such transfer., and could not 'force' either state to do so. Granting such request would be a huge 'favor', available ONLY if the courts and the probation departments of both states agreed to it. You will have to hire an attorney in each state to deal with the probation departments to get their written approvals, on whatever conditions they impose, and then if successful, prepare and file appropriate Motions in each court if you want to try to convince them all that there is persuasive 'good legal cause' for doing so. I have succeeded in obtaining such orders, but you must be prepared to pay, at risk, no guarantee, significant attorneys fees in each state, and to pay significant 'ongoing supervisory fees' being demanded by the receiving state probation department, in order for them to intensely monitor the parolee, more so than one of their own state's parolees. Happy to help from this end if you decide you are ready, willing and able. We can help locate a cooperating attorney in the other state, if his trial attorney is unwilling to participate.

Something tells me CA did reject his request to parole in CA.