yep, it's possible.
First, you have to capture the email address from the forum, usually from a GET or POST method. I'll pretend POST for the sake of example, but there's a few ways to do this.
$email = $_POST['emailaddress'];
Then, you can run some post validation. This can be done via javascript when the form is submitted, or via php from the page that your results are sent to. I prefer the second method since not everyone has javascript capability turned on and it can cause some funk. The validation can spit out an error message if the form wasn't filled out or is missing fields. There are a few form validation scripts/classes on hotscripts, just run a search.
Then, you can mail a message back to the person.
mail($to, $subject, $message, $headers);
$message will contain your HTML code if you want an html email, or it can also be a plain text. Just keep in mind what your working towards when your writing your script.
$headers is what will tell email clients how to process the message. usually, $headers will just contain the from address. For example
$header = "From: Biz<email@duhme.com>";
But it can also be used to specify that the email is html and should be processed as such.
Example:
$header = "From: Biz<email@duhme.com>";
$headers .= "Content-type: text/html; charset=iso-8859-1\r\n";
You can find more options by visiting the PHP mail() page at:
http://us4.php.net/manual/en/function.mail.php