There is no such possibility by default, but you may use this code:
http://prntscr.com/gqqu6s > http://prntscr.com/gqqx76
<?php
if ( $product->has_weight() && is_shop() ) {
$weight = $product->get_weight();
echo '<div class="product-meta product-weight-list"><span class="product-meta-label">Weight: </span>' . $weight . get_option('woocommerce_weight_unit') . '</div></br>';
}
?>
in legenda/woocommerce/content-product.php file
to show http://prntscr.com/gqqlyi > http://prntscr.com/gqqmes.
We recommend you to make changes in a child theme.
Regards