Semi-Brachistochrone, Is It Possible?

Would it be possible for there to be an almost torchship (essentially a very, very weak one) which could fly almost brachistochrone trajectories? So instead of a full on brachistochrone, where you burn straight for the target planet then flip half way and decelerate, an almost-brachistochrone where you burn for a bit towards the planet then spend some time on the float before decelerating.

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Semi-Brachistochrone, Is It Possible?

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