This is an old question and the answer is just for completion sake.
Yes, you can (and by know I think you may already have done it too:-).Use something like this video combined with this guide [guide|73689] to get to the LCD. Replacements are still available but are getting more and more expensive as the Kindle DX is no longer a very popular eReader and demand for parts is decreasing.. Places [https://www.aliexpress.com/item/1888281990.html?spm=a2g0o.productlist.0.0.11cecca5o0lJKU&algo_pvid=5a2d81c8-e3bb-4ff5-92f5-c0efaeed564c&algo_exp_id=5a2d81c8-e3bb-4ff5-92f5-c0efaeed564c-5&pdp_ext_f=%7B%22sku_id%22%3A%2257935799958%22%7D|like this] still sell them but may take a couple of weeks to get this delivered.