No, but we should create better housing and shelters to prevent encampment on public property

The question suggests that the homeless person has been offered and refused housing or shelter. Once they have been offered shelter but still choose to stay on the streets, I feel that they should be cited for trespassing. These people are more than likely drug users who do not want to be surveilled while using. This also indicates that they are more than likely disposing of used needles in these public areas, not to mention defecating in these public areas which is very unsanitary and could spread disease.