NAME
openssl - OpenSSL command line tool
SYNOPSIS
openssl command [ command_opts ] [ command_args ]
openssl [ list-standard-commands | list-message-digest-commands | list-cipher-commands | list-cipher-
algorithms | list-message-digest-algorithms | list-public-key-algorithms]
openssl no-XXX [ arbitrary options ]
DESCRIPTION
OpenSSL is a cryptography toolkit implementing the Secure Sockets Layer (SSL v2/v3) and Transport Layer Security (TLS v1) network protocols and related cryptography standards required by them.
The openssl program is a command line tool for using the various cryptography functions of OpenSSL's crypto library from the shell. It can be used for
o Creation and management of private keys, public keys and parameters
o Public key cryptographic operations
o Creation of X.509 certificates, CSRs and CRLs
o Calculation of Message Digests
o Encryption and Decryption with Ciphers
o SSL/TLS Client and Server Tests
o Handling of S/MIME signed or encrypted mail
o Time Stamp requests, generation and verification
...
(... later ...)
genrsa Generation of RSA Private Key. Superceded by genpkey.
rsa RSA key management.
rsautl RSA utility for signing, verification, encryption, and decryption. Superseded by pkeyutl
rand(1), req(1), rsa(1), rsautl(1), s_client(1), s_server(1), s_time(1), smime(1), spkac(1), verify(1)
Just enter "man openssl" and read all about it. It is quite long and involved though.
In short, yes, you can use RSA with openssl.