Strictly speaking the answer is no because statistics depends on having a probability model. If you can do some plots and get an approximate Idea of the population distribution and if you can develop an argument for how the sample might be say a simple random sample from such a population then something approximate might be done. Have you thought of taking a probability sample large enough that the Central Limit theorem applies?. You might refer to the book in the link below. Best wishes, David
Romer, if this would be so, then almost all studies with aminal or humans (e.g. clinical sudies) would be worthless. I don't think that this is the case.