theoretically yes.
the http_...-functions are available in pro edition only.

the payed solution:
if you use anet-web-edition (~30€) you can do this with this plugin (http://anet-plugin.com).

the free solution:
you have also the choice to use a C/C++-Libary (like enet) to extend gamestudio with a network-functionality by yourself. then you can create sockets and you could implement a http-function (sending the correct http-header and payload through a socket to your statistics-server)