For the most part, big time.
The War was extremely controversial, obviously. Anti-war newspapers were absolutely savage against him...they called for him to be shot, hung, etc.
Chicago, home of Stephen Douglas, had a few newspapers shut down because Lincoln said they were printing treasonous statements. There aren't too many public statements, however, by Lincoln about it because he tried to present a united front in the North amid the Civil War.
2 huge differences are that in 1860:
First, you could print whatever the hell you wanted with no one there to really fact check you. A paper in Chicago could say that Lincoln ran around the White House lawn naked and some farmer would have to take it at word because that's his single source of news. They'd even put on the headlines, "important if true: ..." then go on to say some BS.
Second, Lincoln inherited a country literally divided. Everything I've ever read on Lincoln was that his anger toward the press stemmed from him thinking they were hurting the cause of unity between the North and South, not for anything personal. Lincoln's first, second, and last goal was to unite the country.
I largely feel DJT's anger toward the press is because he feels they hurt his own self interests when they print "fake news."