Is it possible to display conditional HTML based on page name in wordpress?

instead of echoing a whole bunch of html you can close your php tags and just write html as normal.

for example:

<?php
...
...
...
foreach ($posts as $post) {
?>
    <!-- here goes the html -->
<?php
}
?>

On the otherhand you mention in your question that you are trying to display html based on a page name.

You can do this by making a page template