Yes, he did
The dialogue at the end of the film between Dooku (Tyranus) and Palpatine (Sidious) makes it explicit that their plans had been fulfilled:
DARTH TYRANUS: The Force is with us, my Master.
DARTH SIDIOUS: Welcome home, Lord Tyranus. You have done well.
DARTH TYRANUS: I bring you good news, my Lord. The war has begun.
DARTH SIDIOUS: Excellent. Everything is going as planned.
The whole plot was carefully orchestrated to lead up to that point. Consider:
- Jango, who was working for Dooku, made a clumsy attempt on Padme's life.
Seriously, there was no sensible reason for the assassination attempt. All it did was draw the Jedi's attention.
- He leaves behind evidence from Kamino.
When his accomplice was about to talk, he shot her with a Kaminoan sabredart. He could have used a blaster bolt - a common, near-universal weapon, which leaves no physical evidence. Instead he used a weapon apparently unique to Kamino, which left behind physical evidence the Jedi could examine and trace back to Kamino.
- When Jango meets Obi-wan, he behaves in a carefully provocative manner.
He gives obviously evasive answers, he leaves his armour where Obi-wan can see it, despite having ample warning to hide it - indeed, if you watch the scene, you see that he comes out of the room the armour was in, leaving the door open behind him. He stands between Obi-wan and the armour, then he moves aside, making sure Obi-wan can see the armour, and draws attention to it by having Boba go over and close the door.
- Jango heads straight to Geonosis.
Again, why? Of all the places he could go after a fight with a Jedi, he goes running straight to his real employer?
So what we have is Dooku's chief henchman first leading the Jedi to Kamino, to discover the clone army that has been bred specifically for the Republic's use, then leading the same Jedi to Geonosis. Either Jango is seriously incompetent, or it was deliberate.
Dooku stalls, 'interrogating' Obi-Wan instead of just killing him right away. He waits for Obi-Wan's rescue to arrive, and when they aren't what he'd hoped for - just Anakin and Padme - he sets up an overly-elaborate and time-consuming execution for them.
After the battle with the Jedi, Dooku continues to stall. He offers the Jedi a chance to surrender. He takes his time ordering their death. He does everything he can. FINALLY, Yoda turns up with the clones, all hell breaks loose, and Dooku quickly gives up all hope and tells the separatist leaders to evacuate.
After the battle, Tyranus returns to Coruscant to meet with his master. The dialogue goes thus:
It is very clear from the dialogue that what happened was EXACTLY what they had planned.
The whole film consisted of Sidious and Tyranus leading the Jedi around by the nose, carefully laying out the pieces and waiting for them to bite.