framework does not restrict you to the use of PHP, extensions or other libraries.
For request any API by REST you can use Guzzle / PSR-0 compatible library. I think that it is best choice for now.
Phalcon doesn't have instruments for your task. You must use third party libs or php native functions. For example something like this https://github.com/slava-basko/MegaCurl/ it's wrapper for PHP Curl for comfortable work. I hope this will help you =)