Headers are passed long before javascript is downloaded, let alone interpreted. The short is answer is no.
However, if you're speaking in the context of an ajax call (let's use jQuery as an example), the request headers can be written.
See reading headers from an AJAX call with jQuery.
See setting headers before making the AJAX call with jQuery
However, if your javascript is server-side (e.g. node.js) that would be a yes (probably not since the post mentions HTML):
var body = 'hello world';
response.writeHead(200, {'Content-Length': body.length,'Content-Type': 'text/plain' });
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