It is possible to link to a specific time in a YouTube video appending the #t=1m49s syntax.
Is it possible to have links on the same page of the embed that make the video jump to different times in the video?
<a href="">Link to 1 minutes 10 seconds</a>
<a href="">Link to 3 minutes 4 seconds</a>
<a href="">Link to 5 minutes 10 seconds</a>
etc..
Goran has posted the api reference. I would recommend checking that out. Here is some basic code for what you’re looking for though. I’ve commented the main parts:
Now the js:
Here is the fiddle that I created.