Yes, but you'll have to do it yourself by parsing the response and looking for things that look like:
<meta http-equiv="refresh" content="5;url=http://example.com/" />
Obeying <meta>
refresh requests is a browser-side thing. Use DOM parsing to look for <meta>
tags with the appropriate attributes in the response cURL gives you.
If you can guarantee that the response is valid XML, you could do something like this:
$xml = simplexml_load_file($cURLResponse);
$result = $xml->xpath("//meta[@http-equiv='refresh']");
// Process the $result element to get the relevant bit out of the content attribute
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