No, there's not a way.
In general, you're very unlikely ever to find a free (or even pay) software program that can give allergen-free menu plans. The main reason is that the programs don't have access to a full ingredient list of the different items, so they could only be programmed to avoid foods with "milk" or "cheese" in the name, not the ones that contain those ingredients. So your "dairy-free" menu might suggest, say, Brand X Tomato Bisque, because computers are too dumb to know that bisque has milk or cream. If someone new to the program had checked the "no dairy" box, they might logically assume that the food they're being recommended doesn't have any milk in it. They could be forgiven for thinking, "Wow, how nice; the site owners found a brand of tomato soup that doesn't have milk so they could put it on their dairy-free list." Also, a food brand that's dairy-free in Ohio (where SparkPeople is based) might have milk or butter added in other parts of the country. There's a definite risk that someone could misunderstand how things are set up and end up having a reaction. For the same reason, you won't find "no nuts" as an option.
It's just safer if your human brain makes the substitutions, because your brain knows what's really dairy free, and what foods are available where you live, and which ones you like. Computers are much faster than people, but they're pretty stupid. When it comes to avoiding foods that make you sick, intelligence is far more important than speed.
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