I will normally revert to JS for this as @jonathan suggest but you can use another Timeline for your time events if what you are doing is not too complicated
I have one timeline named 'movement' that moves an element across the scene.
I can place some keyframe actions on it that pauses it but also continues a second timeline named 'timeEvents'
On the 'timeEvents' timeline I can place some keyframe actions that do the reverse. Thus restarting the 'movement' timeline after the prescribed time and pausing the 'timeEvents' timeline until it is continued by the 'movement' timeline...
delayTimeline.hype.zip (12.8 KB)