Yes.
Change your line to this:
<link rel="stylesheet" href="style.css?version=1" type="text/css">
Every time that you update the stylesheet, change the version. The browser will think that it is a different page because of the query string, and your server will ignore it.
If you are using a server side language such as PHP, you can also do the following:
<link rel="stylesheet" href="style.css?version=<?php echo time(); ?>" type="text/css">
This will change the version every time you refresh, thus stopping all caching.
与恶龙缠斗过久,自身亦成为恶龙;凝视深渊过久,深渊将回以凝视…