No, the French emerged from 1917 with an army that, while not fully recovered from Verdun and the Nivelle Offensive, was on its way to full recovery. French offensive operations had been paused while Petain awaited the arrival in force of the Americans and the delivery of more Renault FT tanks. By the time of the German Spring Offensive, the French were almost prepared to resume offensive operations. While the German operations were primarily directed at the British, the French also came under attack during Blücher-Yorck, the German offensive in the Aisne sector. The sector was held by British divisions undertaking a rest period and the defenses had largely been ignored by the former French occupants. When the sector came under attack, French and American divisions were moved in to defend the region, eventually halting the German advance about 20 miles from Paris.

The German followed up Blücher-Yorck with a major offensive in the sector that became known as the Second Battle of the Marne. The French committed 44 divisions to the battle, arranging a defense in depth of the region and successfully repelled the Germans. The initiative now in the Allied hands, the french launched a massive offensive along the front and pushed the Germans back, recapturing just about all the territory the Germans had seized during the Second Battle of the Marne and Blücher-Yorck. While it was the British and commonwealth forces that formed the spearhead of the Hundred Days Offensive, the series of offensive operations that eventually penetrated the German lines and achieved a massive breakthrough, the French were not idle, they formed the largest contingent of Allied troops on the Western Front and took more then 100,000 German prisoners during their own offensive operations.

So to answer your question, no, the French were not nearing collapse in 1918, its arguable that they were not even nearing collapse the year before at the height of the mutiny crisis. The French were more then capable of undertaking defensive operations and then going on renewed offensive operations after the German offensives petered out.