Quick and dirty solution, if you happen to know the product id you want to avoid, would be something like:
<select name="productid">
$query = "select productid, product from product ";
$result = mysql_query($query) or die('Error : ' . mysql_error());
while($arrayRow = mysql_fetch_assoc($result)) {
if($arrayRow['productid']!="0"){//or whatever id is it you want to avoid
$intIdField = $arrayRow['productid']; //how can it be started from '1' / 2nd row
$strNameField = $arrayRow['product'];
echo "<option value=\"$intIdField\">$strNameField</option>\n";
}
}
echo "</select>\n\n";
Of course, if this won't help your case it would be a good idea to tell us WHY you would want to avoid the particular row...