Not exactly same as M2 but you can do it via Design tab > Layout as XML
So edit CMS page, add XML entry to Lauout as XML. Make sure your js and css is in place and you have following options.
https://www.rowanburgess.co.uk/add-css-javascript-files-cms-pages-magento/
To add a CSS file residing in the skin CSS folder
<default>
<reference name="head">
<action method="addCss">
<stylesheet>css/custom.css</stylesheet>
</action>
</reference>
</default>
To add a Javascript file residing in the skin JS folder
<default>
<reference name="head">
<action method="addItem">
<type>skin_js</type>
<name>js/custom.js</name>
<params/>
</action>
</reference>
</default>
To add a Javascript file residing in the {magentoroot}/js folder
<default>
<reference name="head">
<action method="addJs">
<script>custom.js</script>
</action>
</reference>
</default>
For blocks you will need extension
Someone posted this online
https://github.com/progammer-rkt/magento-js-css-for-static-blocks
Cant say for certain it works
<style>
tag