It is not only that ASN.1 was there before SSL, but even the certificate format was there before SSL. The certificate format comes from X.500, which is the "DAP" part of "LDAP", L as in "Lightweight" in "LDAP" refers mostly to LDAP not using public key certificates for client authentication in contrast to X.500 [1]. Bunch of other related stuff comes from RSA's PKCS series specifications, which also mostly use ASN.1.

1] the somewhat ironic part is that when it was discovered that using just passwords for authentication is not enough, the so called "lighweight" LDAP got arguably more complex that X.500. Same thing happened to SNMP (another IETF protocol using ASN.1) being "Simple" for similar reasons.