The short answer to this question, is yes. However, there are specific circumstances and you can readily remedy this by simply completing a few steps. Here are a few reasons that a judge may deny a divorce:
No parenting plan completed
No parenting class taken
No child support paperwork filled out determining amount and frequency of child support
Lack of financial paperwork filed
In all of the above mentioned cases the reasons can readily be remedied and the divorce can proceed.
Also, in a few states, there are only specific reasons accepted for divorce, other states (the majority) are "no fault" divorce states in which no reason must be declared. If you live in one of the states that must have a reason, you'll have to go to trial and prove infidelity or other such reason for a divorce.