This is incorrect. The person is clearly not in translation equlibrium as his velocity is changing (the magnitude might not be changing, but clearly the direction is), hence there must be a net force. There is only one force acting on the person and that is static friction, which is pushing him inward, along the radius of the path. Because he isn't sliding, it must be static friction.
Now think about a stationary mass, sitting on a table, and attached by a string to a device that measures force. If you pull horizontal, along the table, on the instrument, you will note that the force increases from 0 to some maximum (maximum of static friction) before the mass begins to move and then drops to some constant force while you move the mass at a constant speed (kinetic friction).
So static friction can be anything between 0 and its maximum determined the coefficient * the normal force. So you could turn your bike as slowly as you want without slipping as the force needed to pull you inward and "turn" you, provided by static friction, is less than its maximum. The fastest you can turn is determined by the maximum amount of acceleration the inward force can produce which is simply the maximum of static friction.
If there were an outward force, you'd need a stronger inward force to result in the same net force.