Not if the lottery is run fairly and honestly. As @ARE_you_kidding_me notes, if statistical analysis / close observation shows that there are uncorrected flaws in the selection system, then it may be possible to make some generalized predictions about some of the numbers. Maybe. Some numbers. That would hardly lead to a generalized success, but in that case it’s not completely impossible.
In a well-run lottery, the administrators would be looking just as closely at the selection process to see if they could make the same types of predictions, and then make appropriate corrections.