Can the iCloud apps backup of an iPhone be restored to a different iPhone?
If you want to restore your data to your new phone, you most certainly can; that is the point for have iTunes/iCloud backups. But you cannot select what data you wish to restore from backup, regardless if its an iCloud or iTunes local backup.

I suggest you restore your backup to your new phone and then manually remove any applications and data that you do not wish to keep on it. Otherwise, you are forced to start with a brand new phone without any data from your previous phone.