TCP/IP is a protocol called TCP encapsulated in protocol called IP. Raw IP packets have "protocol number" for use by payload, but not port number. Port number is technically part of custom data that IP layer should not care about.
If you mean socket as in `my_socket = socket(AF_INET, SOCK_STREAM, 0);` that's TCP/IP, not raw IP, so it will have port numbers in the TCP part of the packet. `SOCK_STREAM` and `SOCK_DGRAM` respectively correspond to TCP and UDP. Raw IP sockets on Linux can be created by `socket(AF_INET, SOCK_RAW, protocol);` and that will have no TCP/UDP header attached by the Kernel after the IP header in the packet.
If you mean socket as in `my_socket = socket(AF_INET, SOCK_STREAM, 0);` that's TCP/IP, not raw IP, so it will have port numbers in the TCP part of the packet. `SOCK_STREAM` and `SOCK_DGRAM` respectively correspond to TCP and UDP. Raw IP sockets on Linux can be created by `socket(AF_INET, SOCK_RAW, protocol);` and that will have no TCP/UDP header attached by the Kernel after the IP header in the packet.
(googling a bit as I write, forgive errors)