On a webpage, is it possible to split large files into chunks before the file is uploaded to the server? For example, split a 10MB file into 1MB chunks, and upload one chunk
There is no JavaScript solution for that selection of browsers. There is the File API but whilst it works in newer Firefox and Chrome versions it's not going to happen in IE (no sign of it in IE9 betas yet either).
In any case, reading the file locally and uploading it via XMLHttpRequest is inefficient because XMLHttpRequest does not have the ability to send pure binary, only Unicode text. You can encode binary into text using base-64 (or, if you are really dedicated, a custom 7-bit encoding of your own) but this will be less efficient than a normal file upload.
You can certainly do uploads with Flash (see SWFUpload et al), or even Java if you must (Jumploader... I wouldn't bother, these days, though, as Flash prevalence is very high and the Java plugin continues to decline). You won't necessarily get the low-level control to split into chunks, but do you really need that? What for?
Another possible approach is to use a standard HTML file upload field, and when submit occurs set an interval call to poll the server with XMLHttpRequest, asking it how far the file upload is coming along. This requires a bit of work on the server end to store the current upload progress in the session or database, so another request can read it. It also means using a form parsing library that gives you progress callback, which most standard language built-in ones like PHP's don't.
Whatever you do, take a ‘progressive enhancement’ approach, allowing browsers with no support to fall back to a plain HTML upload. Browsers do typically have an upload progress bar for HTML file uploads, it just tends to be small and easily missed.