This is a rather subjective question, and it really depends on your personal opinions about the topic. In my eyes, yes, justice and forgiveness can go hand in hand. Let's take an example of an offender who committed a particular crime.
He or she will be prosecuted for what they did, and thus justice will be served. However, after they've endured their punishment, they might become law-abiding citizens again, and this is where forgiveness takes place - they can be forgiven for their evil deeds and allowed back into the society (although, this depends on the crime they've committed).