Does this PDO process look protected from SQL injection?
It looks like your script is part of a basic ajax searching technique.


$_POST is typically used when writing to the database (or when there is a distinct reason that $_GET is unsuitable). Since you are merely SELECTing data, just use $_GET.
if you are going to validate your incoming data, don't bother acquiring resources until after you have validated the incoming data and determined that it qualifies for a trip to the database.  If you are going to default to SELECTing the whole table, then it doesn't matter.
it looks like if params 1 and 2 are missing, you are happy to perform a full table SELECT.  So why deny the full table SELECT if details isn't declared?
empty() is greedy -- it is looking for any falsey value.  Even the string 0 - which has a length of 1 - is deemed empty. Perhaps do a strlen() check instead.
I don't think that trimming should be forced on the data if part of a search string -- maybe the user wants to include the space.
don't htmlspecialchars() as an attempt to improve security.  The prepared statement is going to protect you from string injections.  This call should be used when printing to screen, not querying the db.
I think you have a typo in your second WHERE condition in that you mean to use a second LIKE but you have used = and kept the % appended to the value.
I recommend that you design your table names and column names as lowercase strings to differentiate them from MYSQL keywords.
you are not performing an data manipulations on the result set in this layer, so it will be more direct to fetchAll()
always provide a response string from this script; ideally every response should be json so that your response receiving script can be simpler.
never show end users the raw error message. Give them a vague indication of an error and nothing more.
As @YourCommonSense commented, you should move your $conn-&gt;setAttribute call your include file.
Normal execution of your script will not be generating any errors.  Catching the errors will prevent the logging of the errors.  I recommend removing the try catch block.  For continued researching, start here. 


Code:

$conditions = [];
$parameters = [];   

foreach (['param1' =&gt; 'COLUMN1', 'param2' =&gt; 'COLUMN2'] as $param =&gt; $column) {
    if (isset($_GET['details'][$param]) &amp;&amp; strlen($_GET['details'][$param])) {
        $conditions[] = $column . " LIKE ?";
        $parameters[] = $_GET['details'][$param] . "%";
    }
}

include("../include/database.php");
$select = "SELECT COLUMN1, COLUMN2 FROM table";
if ($conditions) {
    $select .= " WHERE " . implode(" AND ", $conditions);
}          
$stmt = $conn-&gt;prepare($select);
$stmt-&gt;execute($parameters);
echo json_encode($stmt-&gt;fetchAll(PDO::FETCH_ASSOC));




In your ajax call, do not tell declare the response type as html -- it's not html, it is json.  In doing so, you won't need to parse it.