The answer is no, provided that the party State Secretary Pinarayi Vijayan is sufficiently weakened.
It is well known that the official group was angling for his ouster from the Chief Ministership after the Lok Sabha elections. Mr. Achuthanandan would want the CPI (M) polit bureau to assure him that this would not happen.
However, mere assurance is not enough. Pinarayi should be sufficiently weakened to ensure that he would not strike at Mr. Achuthanandan later on. The best way to ensure that is to get permission from the polit bureau to sanction the prosecution of Mr. Vijayan in the SNC Lavalin case. Thus VS would have a lien over Pinarayi for months to come.
If that would not work with the PB (in all possibility, it would), Achuthanandan will offer to resign if Pinarai is also removed from his position. That way, he would have better influence in the party and government than being a puppet Chief Minister under party machinery controlled by Mr. Vijayan.
Nobody need expect the fall of the Government during the Budget session of the Assembly beginning on Friday. Nothing dramatic will happen after the polit bureau discusses the SNC Lavalin issue on Saturaday.