It may but that would be foolish.
Many excavations in urban settings can be viewed by the public. In addition, some excavations have public outreach and education as one of their objectives. These projects can offer limited hands-on experience to interested persons.If you are interested in participating, you should join your local archaeological group for avocationals. These groups are the best source of information about what is happening in your community.
Some are accessible in the sense that the public can visit and watch the excavators work or can even volunteer to help. Earthwatch and Crow Canyon are both organizations that sponsor archaeology sites where people can pay to participate. But most sites are off limits to the public because they might be damaged or destroyed by untrained people messing with them or stealing items. It is actually against Federal law in the US and many other countries to vandalize or steal from established archaeology sites on public lands.