WebGL accurate timing

Is there a way to achieve accurate timing in WebGL, without having to rely on Javascript? That is, without the use of setInterval() or setTimeout() or requestAnimationFrame()? I need to perform a task periodically using WebGL and timing accuracies are very important. Unfortunately setInterval()/setTimeout() are not the most accurate methods to use to make a task run periodically. Therefore I was wondering whether or not WebGL methods exist to do this sort of thing (no Javascript)?

Thank you