Parse.Cloud.httpRequest をつかう。
Parse.Cloud.httpRequest({
method: "POST",
url: "https://<account_sid>:<auth_token>@api.twilio.com/2010-04-01/Accounts/<account_sid>/SMS/Messages.json",
body: {
From:"+14085550693",
To: "+14085551212",
Body:"Hi, Parse can send SMS via Twilio!"
}
});