Generally no. Not unless you work on a farm or with your parents.
Child labor laws make it extremely difficult for anyone under 16 as do insurance requirements, and legal liabilities, and the average ability of anyone that age. But mostly a total lack of work experience. You will have to learn everything they might ask for you to do. http://www.texasworkforce.org/ui/lablaw/cllsum.html
Now if someone has the choice between an 18 year old (or someone older and experienced) and a 14 year old....particularly in this bad economy, they are going to hire the experienced older person for the same pay. More value for their money.
So there is a huge difference between CAN you legally work and CAN you actually find anyone willing to hire you. Most jobs are never advertised, either in a newspaper or online. If they can fill them without making the effort and expense, they are not going to spend the money. And you would be defining what entry level is.....basically no work skills or experience that would be of value to an employer. And thats something all people will deal with in the beginning.