Can I load a local html file with the cheerio package in node.js?

The input is an html string, so you need to read the html content yourself:

var fs = require('fs');

cheerio.load(fs.readFileSync('path/to/file.html'));

A html file can be read asynchronously with the readFile function from the fs module. When the reading of the file finished the callback function is passed two arguments (err, data).

The received data contains the html content and can be simply passed to the cheerio load function.

var cheerio = require('cheerio');
var fs = require('fs'); 

fs.readFile('path/to/file.html', 'utf8', function(err, data) {

    if (err) throw err;

    var $ = cheerio.load(data);
    console.log($.html());
});

Sidenote: Because the encoding utf8 is specified as an optional second argument, the typeof data is a string. If the encoding is ommitted data will be a buffer. The load function understands this nonetheless, because the buffer is internally converted to a string with:

if (Buffer.isBuffer(content))
  content = content.toString();

Documentation of fs.readFile()