Sim, você pode fazer isso, pois curl --help
ou man curl
teriam dito você:
-k, --insecure
(SSL) This option explicitly allows curl to perform "insecure" SSL connections and transfers. All SSL connections are attempted to be made secure by using the CA certificate bundle installed by default. This makes all connections considered "insecure" fail unless -k, --insecure is used.
See this online resource for further details: http://curl.haxx.se/docs/sslcerts.html