Importing a contact list to iphone and android phones

Anyone know what’s capable with pushing contact names and numbers from a 3rd party data source? I want to provide the ability to allow the caller ID with a name I come up with. I didn’t want to use a CRM because my solution is really temporary where my customers don’t add customer names and numbers, but when one of their customers call, I want it to be obvious to them versus spam. I saw online there may be an integration for IOS. Anyone have experience or familiar with how Make can do this.