No.
Austria-Hungary was approaching two highly disruptive crises: the death of Franz Josef and the expiration of the Ausgleich. For quite a few years parliamentary government in Austria had been in abeyance, due to the monumental incompetence of Austrian politicians; the government functioned under emergency rule by decree, which worked only because of the prestige of FJ. While that prblem had receded by 1914, things were still very bad.
Russia was also unstable, with restive ethnic groups on the border, a shaky economy, and widespread discontent with the monarchy, then in the incompetent hands of Nicholas II.
Neither regime was likely to survive very long, much less a century, and their breakdowns would result in major territorial changes.
There were also territorial grievances regarding Imperial Germany: Schleswig, Alsace-Lorraine, and various bits of Poland. While Germany was very stable then, a century is a long time.
Here's another thought. Even if no wars convulsed Europe, Gandhi was already developing his ideas about mass civil disobedience. Such tactics could put immense pressure on even a semi-authoritarian monarchy to accept territorial changes.