No - in fact one of his problems was solved when the south fired on Fort Sumter. Had they not, many of the northern states and perhaps the people might have insisted on state's rights, though Lincoln might have figured out another justification.
One argument against Lincoln is that the Declaration of Independence announced a lawful secession by the colonies from Great Britain based on the right of the people to change or abolish their form of government. It is thus made apparent that the Declaration established that the right of secession is among the inalienable rights of men. The Declaration is therefore one of the best arguments against legal justification for a war against secession. It was adopted by representatives of the thirteen colonies and declared that those colonies had become "Free and Independent States."