There is no easy option that you can just turn off for that.
You'll have to edit the file "listing" of the view "address" for your frontend template via the menu Display>Views and remove the pieces you don't want:
Code:
<dl class="hika_options large">
<dt><label for="hikashop_default_shipping_address_selector"><?php echo JText::_('HIKASHOP_SELECT_DEFAULT_SHIPPING_ADDRESS'); ?></label></dt>
<dd><?php
$current = 0;
$values = array();
if(!empty($this->addresses)) {
if(empty($this->addressClass))
$this->addressClass = hikashop_get('class.address');
foreach($this->addresses as $k => $address) {
if(!in_array($address->address_type, array('shipping', 'both', '')))
continue;
$addr = $this->addressClass->miniFormat($address);
$values[] = JHTML::_('select.option', $k, $addr);
if(!empty($address->address_default))
$current = $address->address_id;
}
}
if(empty($values))
$values = array(JHTML::_('select.option', '', JText::_('HIKA_NO_ADDRESS')));
echo JHTML::_('select.genericlist', $values, 'data[user][default_shipping]', 'class="hikashop_default_address_dropdown" onchange="window.addressMgr.setDefault(this, \'shipping\');"', 'value', 'text', $current, 'hikashop_default_shipping_address_selector');
?></dd>
</dl>
Code:
<div class="hkc-md-6 hikashop_shipping_addresses">
<h3><?php echo JText::_('HIKASHOP_SHIPPING_ADDRESSES'); ?></h3>
<?php
foreach($this->addresses as $address) {
if($address->address_type != 'shipping')
continue;
?>
<div class="hikashop_user_address address_selection" id="hikashop_user_address_<?php echo $address->address_id; ?>">
<?php
$this->address_id = (int)$address->address_id;
$this->address = $address;
$this->setLayout('show');
echo $this->loadTemplate();
?>
</div>
<?php
}
?>
<div class="" style="margin-top:6px;">
<a class="hikabtn hikabtn-success" href="#newAddress" onclick="return window.addressMgr.new('shipping');"><i class="fa fa-plus"></i> <?php echo JText::_('HIKASHOP_NEW_SHIPPING_ADDRESS'); ?></a>
</div>
</div>
