The Fourth Doctor started the Time War?

[samurainoir]

http://tardis.wikia.com/wiki/Last_Great_Time_War

Acting through his own authority and unaware that Romana had succeeded in defeating the Daleks, Narvin sent Valyes to Skaro to meet the Fourth Doctor, and give him a mission to avert the creation of the Daleks. (AUDIO: Ascension) The Doctor's mission on Skaro during the Thousand Year War had certain objectives:

If possible, to avert the creation of the Daleks
Otherwise to alter their development and make them less aggressive
To find some intrinsic flaw or weakness to exploit in the Daleks
The Doctor believed he might have set back the history of the Daleks for a thousand years. (TV: Genesis of the Daleks) This attempt to avert their creation created hostilities by the Daleks towards Time Lords and would eventually lead to war. (WC: Captain Jack's Monster Files: Dalek, COMIC: Hunters of the Burning Stone, AUDIO: The Dalek Conquests, Ascension) The Eternity Circle even considered this act the very beginning of the Time War. (PROSE: Engines of War)

[Mikey]

I've always considered Genesis of the Daleks to be the start of the Time War --

If not definitely when McCoy had a hand in blowing up Skaro

[Toy Timelord]

Four's involvement eventually led to the Last Great Time War, but it wasn't the start of the war itself.

Due to the nature of Time Travel, the Fourth Doctor met the Daleks before the First Doctor did. So technically one could make the argument that it's a closed loop.