The curl installed by default in Debian supports HTTPS since a great while back. (a long time ago there were two separate packages, one with and one without SSL but that's not the case anymore)
You can send an OPTIONS request with curl like this:
curl -i -X OPTIONS http://example.org/path
You may also use -v instead of -i to see more output.
To send a plain * (instead of the path, see RFC 7231) with the OPTIONS method, you need curl 7.55.0 or later as then you can run a command line like:
curl -i --request-target "*" -X OPTIONS http://example.org