Nope. Osceola was burned by an unauthorized militia/mob of Kansas Redlegs under Jim Lane.
Unless you can provide documentary evidence of Lincoln ordering the burning or even the attack?
This claim is tantamount to claiming that Davis ordered the Lawrence Massacre, a much greater atrocity.
Lane was taking orders from Lincoln.
Lawrence gets all the attention but it pales in comparison to all that the redlegs did by Lincolns orders.
Lincoln burnt Osceola in retaliation to his main objector in the senate.
Lincoln sent messengers to order Lane and his companions. Many of them were intercepted.
Lincoln wanted the war. It worked, look at Fedzilla now he got his wish.