If SpaceX can get Falcon Heavy to work then no, so much of the oxygen will be sucked out of the launch services market that Blue Origin will be hard pressed to compete. At that point. I see them much more likely as a ULA acquisition to insure engine supply rather than a continual drain on Jeff Bezo's net worth.

If on the other hand Falcon Heavy continues to slip, or if their early attempts at launching them are unsuccessful, or they are unable to recover the three boosters (which I think is 'baked in' to the market expectations) then Blue seems to be in a position to take some of the heavy launch business, except that there isn't nearly as much of that business as there is the small/medium launch business.

Finally the dark horse here is the 'previously unexploited used for heavy things in space' which is to say some business or process that is tremendously more competitive in space than it is on Earth which grows the heavy launch business faster than SpaceX can scale up.