First, there was the meatless burger. Soon we may have fishless fish.

Impossible Foods, the California company behind the meatless Impossible Whopper now available at Burger King, is joining a crowded field of food companies developing alternatives to traditional seafood with plant-based recipes or laboratory techniques that allow scientists to grow fish from cells.

So far, much of Impossible’s work has focused on the biochemistry of fish flavor, which can be reproduced using heme, the same protein undergirding its meat formula, according to Pat Brown, the company’s chief executive. Last month, Impossible’s 124-person research and development team, which the company plans to increase to around 200 by the end of next year, produced an anchovy-flavored broth made from plants, he said.

“It was being used to make paella,” Mr. Brown said. “But you could use it to make Caesar dressing or something like that.”

The fishless-fish project is part of Impossible’s grand ambitions to devise tasty replacements for every animal-based food on the market by 2035. Whether that aim is achievable, either scientifically or financially, remains to be seen. But for now, Mr. Brown said, he’s confident Impossible’s plant-based beef recipe can be reconfigured to simulate a new source of protein.