Is there a way to change background color for a table in onenote?

In Microsoft OneNote 2013+:

In a table:

• highlight the row, cell or column you want to shade
• right click and select table
• shade
• select your color and voila! Your column is shaded.

There is no way to change the background color of cells in a table in OneNote http://answers.microsoft.com/en-us/office/forum/office_2010-onenote/in-onenote-tables-how-can-i-change-the-background/5fe682ea-5a07-43dd-815a-2b4d8af646d5.

Create a shape in Word and fill with desired colour. Copy into OneNote and 'send to back' behind table. Hope this helps!