No. Lidl was established in the 1930s by the Schwarz company. Later, stores were founded in 1970s and were named after one of the Schwarz brothers' business partners, Ludwig Lidl.
Two brothers, however, did found the Aldi chain: Theo and Karl Albrecht.
It is a common myth that "Aldi and Lidl" are brothers as they are both German companies and both have extremely similar layouts inside the stores in order to maximize productivity in the stereotypical German fashion.
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They are both German but otherwise no. Aldi was run by two brothers who split the company between them and lidl is basically a copy of aldi that opened some years later