No, wordpress can not resize BMP files. Beware that it does not make sense to use BMP files in a website because a broad number of webbrowsers is not able to display them.
Filetypes that are supported by WordPress and which are widely supported by internet browsers are: GIF, JPG and PNG.
Those formats are optimized for internet use as they compress image data. BMP is a common image format but not in the internet because it has large file sizes.
If you like this question & answer and want to contribute, then write your question & answer and email to freewebmentor[@]gmail.com. Your question and answer will appear on FreeWebMentor.com and help other developers.