Generally, no. According to Lawrence City Code Chapter 16, Article 801:
"The City of Lawrence has the right to make immediate use of the entire public right-of-way for street, sidewalk, utility and drainage purposes and for the installation, inspection, maintenance and removal of the same. The City of Lawrence will generally not compensate an adjoining landowner for damage to plants, underground sprinklers and other private improvements located upon the public right-of-way, resulting from the installation, inspection, maintenance or removal of streets, sidewalks, utilities or drainage ways."
When possible, the City will work with adjoining property owners to help alleviate any issues that may arise prior to starting work. This may not always be possible, depending on the type of work - specifically in emergency situations.