No. No manufacturer covers that unless there was a special warranty at purchase time. (Goodman has one now I believe). One co. had a class action lawsuit and pays part of the labor but that is a different story. If it has all its original parts you may want to consider a new furnace as this one and any furnace over 15 yrs old can start becoming a $$ pit with repairs. Just like an old car.
"Cut it twice and it is still too short".