Wall St Journal thinks so. They cite China's Comac C919, Canada's Bombardier CS300, and Russia's Irkut MC-21-300, all coming on line shortly. Very shortly, the Comac C919 and the Irkut
MC-21-300 just made their first flights in May this year. They both have at least one year, probably more, of flight testing and certification paperwork to do before they can sell them. Bombardier is farther along, their first flight was back in February of 2015, the flight testing and paperwork is done, and they are delivering them.
We are talking standard single aisle airliners, seating 160 to 200 passengers, selling for $100 million each, the bread and butter airliner. The bigger flashier planes 787, A380 and such don't sell nearly as many.
So what happens? Right now the Boeing and Airbus planes are a little more fuel efficient, have excellent reputations, and cost a tad more than the new comers. Reputation counts. Aeroflot was pleased to announce a few years ago, that all their international flights now used western built aircraft. They retired most, perhaps all, of their fleet of Russian built Ilyushins, mostly because they scared the passengers.