Yes, you can create a Custom HTML module (with "Prepare Content" parameter on yes) and insert something like this:

<a href="/profile.html">

<div class="usercustom"><div class="avatar">{user avatar_mini 341}</div><div class="name">{user name 341}</div></div>

</a>

<a href="/profile.html">

<div class="usercustom"><div class="avatar">{user avatar_mini 352}</div><div class="name">{user name 352}</div></div>

</a>

<a href="/profile.html">

<div class="usercustom"><div class="avatar">{user avatar_mini 390}</div><div class="name">{user name 390}</div></div>

</a>

But I suggest you to use template override for module, with template override you can create many styles for a module.
For overriding module template copy and edit the file /modules/mod_jsnusers/tmpl/default.php to /templates/your_template_folder/html/mod_jsnusers/default.php.

You can assign another name to file (example /templates/your_template_folder/html/mod_jsnusers/newstyle.php) and choose this from module parameter "alternative layout" on advanced tab (see screenshot)