During his rule was Lenin responsible for any deaths like Stalin was?

Can you elaborate on what you mean by "responsible for any deaths like Stalin was?"

Lenin was the leader of the ruling Soviet government during the Russian Civil War, which pitted the Reds against the Whites. This resulted in at least hundreds of thousands of deaths on both sides. But I'm not sure if that's what you mean by "responsible for any deaths."

Due to food shortages in the city and in an attempt to squash the growing number of bagmen (city residents who traveled to the countryside to trade for food, and then return and sell it in the city for a profit), Lenin approved forced requisition of foodstuff from the peasantry. This led to many deaths, from the malnutrition and starvation of the peasants whose foodstuff was taken from them to peasant insurrections and the violent reprisals that followed. Is that what you had in mind?

Perhaps the most unique case of Lenin being (unwittingly) responsible for the death of thousands of people was when he was in a party meeting and passed a note to the leader of the Cheka, which was a "security organization" created by Lenin that used terror, imprisonment, torture, execution and a variety of other nasty tactics on political dissidents, counter-revolutionaries, capitalists, and so on.

In any event, in the note Lenin asked how many political prisoners were in Moscow jails. The Cheka chief wrote back a number (it was a few thousand, if memory serves) and Lenin marked an X next to the comment, which was his habit to indicate that he had read and processed the information. The Cheka leader, however, saw the X and interpreted that to mean that those political prisoners should all be liquidated. So that night, each and every political prisoner in Moscow jails was executed.

Source: A People's Tragedy: The Russian Revolution: 1891-1924, by Orlando Figes.