Can sole physical custody be changed to shared custody?

Custodial parent(the mother) was recently been granted sole physical custody even though they already had it, but now it is documented in the courts.The noncustodial parent will have visitation 6 hrs a week.Can the noncustodial have the sole custody changed just because they want to? The parent with the sole physical custody is doing a great job with their child and is very stable financially,mentally and physically.The noncustodial is going through constant financial problems,facing foreclosue,3rd wife,three kids by three different partners and has to pay child support for two of those children and has stated in the past that they would move out of the country because of having to pay child support.The non custodial wants to keep pushing the issue of getting more visitation time when they have only just started seeing the child 1 month ago, but say's it has nothing to do with reducing the child support,the noncustodial also keeps stating that they want shared custody despite the fact that their child is doing well witht the other parent.The child is only two years old and has never lived with this noncustodial parent but the NCP is insisten on taking the child out of the home of the custodial parent for half of the week despite how well this child is doing. So my question again is ,can the NCP change the custody arrangement that is already established just because they want more custody?Can sole physical custody be changed to shared custody?Of course. All you or they need to do is get an attorney and file a motion and let the courts decide. The NCP will have to provide proof they are stable and can proide a good home for the child.