Usually, no. A flatbed scanner will capture the scanner bed/background as part of the image, so a white background is expected.

The only possible exception is if your scanner software has a feature to treat a specific background color as transparent, similar to chroma key (green/blue screen). If that option exists, you could place the cut-out on a colored background and key it out during or after scanning.

Otherwise, removing the background has to be done in a separate image-editing step after the scan.