Not directly. Basically, Sony requires ePub (or PDF) either DRM-free or using AdobeID DRM (encryption). Kindle ebooks are usually in the MOBI (AZW) ebook format, and usualy have DRM. B&N ebooks are often in the eReader format with password, and even if they are in the ePub format they use a password-based DRM that isn't compatible with the Sony Readers.
It is possible to buy from Amazon (Kindle for PC) or B&N, strip the DRM, and then convert to ePub using Calibre. This is (probably) legal in the US for your own use of ebooks you bought. The best single source for news about DRM is Apprentice Alf's Blog. However, the K4PC approach is reportedly broken by Amazon's latest update and even Apprentice Alf isn't on top of this yet.
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