Is there a way to add pinyin/furigana to a class with css/javascript?

You can add it to a custom HTML tag with CSS which is what I did.

<html>
<head>
<meta charset="UTF-8">
<title></title>
<style>
fg:before {
	content: attr(t);
	display: block;
    font-size: 50%;
    text-align: start;
	line-height: 1.5;
}

fg {
	display: inline-block;
	text-indent: 0px;
	line-height: normal;
    -webkit-text-emphasis: none;
	text-align: center;
	line-height: 1;
}
</style>
</head>
<body>
<fg t="わたし">私</fg>はケンです。<br><br>
</body>
</html>

pinyin/furigana can be added using the ruby HTML element which is part of a W3C Recommendation and is supported on about 95% of web browsers as of July 2017.

Example:

<ruby>漢字<rt>かんじ</rt></ruby>

Edited to change link to W3C recommendation instead of draft and change browser support