Yes.
They are also a major source of excess energy once the reaction becomes self sufficient. Capture the high-energy neutrons in a suitable material and it heats up. Use heat exchangers to run turbines, produce electricity.
If you read up on fusion energy, you'll soon encounter the note that fusion reactor waste is short-lived and therefore easier to manage + store than fission reactor waste. The material used to capture neutrons is transmuted to radioactive isotopes, but due to the choice of materials* used the half-life of those isotopes is pretty low.
Yes, it also means that the fusion reactor waste is more energetic and more active radiation source than fission waste. But because it's going to become safe in just a couple of hundred years, it causes much less of a headache in terms of storage.
*: We don't necessarily know what the radioactive isotopes will be. I think the jury and researchers are still out on that one but I dare say it's guaranteed that the neutron absorbent will NOT be uranium or radium.