No, you cannot make that assumption. Each farmer who participates manages their farm according to their own ideas and plans.
If the market rules state that everything must be pesticide-free, then you have to hope the market has a way of certifying that they are meeting that rule.
The term "organic" has been usurped by the feds, however, there are a few people carefully stating they "uncertified organic". Also you'll find the terms "natural" and also "sustainable". These farmers may be pesticide-free, but you have to ask each farmer.
Hope that helps a bit.