Is it possible to access other module export functions within the same file?

Just simply module.exports.functionOne().

If that's too cumbersome, just do the following:

function fnOne() {
    console.log("One!");
}

module.exports.fnOne = fnOne;

var me = require(module.filename);
me.functionOne(name);

or just use exports object itself

module.exports.functionOne(name);

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