if the other div is sibling/child, or any combination of, of the parent yes
.showme{ _x000D_
display: none;_x000D_
}_x000D_
.showhim:hover .showme{_x000D_
display : block;_x000D_
}_x000D_
.showhim:hover .hideme{_x000D_
display : none;_x000D_
}_x000D_
.showhim:hover ~ .hideme2{ _x000D_
display:none;_x000D_
}
_x000D_
<div class="showhim">_x000D_
HOVER ME_x000D_
<div class="showme">hai</div> _x000D_
<div class="hideme">bye</div>_x000D_
</div>_x000D_
<div class="hideme2">bye bye</div>
_x000D_