I'm not sure what you mean by event, please explain further.
It is possible to make a new map size so that it is smaller, thus forcing players to meet / clash sooner (some mods already exist to make maps bigger, download them and tweak them to make maps smaller). In addition you can make the factions more aggressive if you want the event of war to break out.
You could update the unit costs (again some mods already do this) so that it only takes 1 turn to build a unit / research a tech / carry out a spy mission etc.
You should be able to build a new quest or mod an existing one so that the requirements come sooner but I haven't seen that yet (haven't looked at quests at all).