As I know that Nokia and some others phone (like iPhone) are able to sent and receive class 0 SMS , is it possible for android ? Do Android have the API?
For rooted Android it is possible to bypass an API and send Class 0 SMS. There is a project on Git Hub called ZeroSMS:
ZeroSMS is a proof-of-concept demonstrating a way to send Class 0 SMS on android >=2.3.
Note: this only works on versions 2.2 -> 4.1.2, the sendRawPdu method was removed, so you will need to find a new way to do this.