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I believe so but Microsoft doesn't make it very easy for you :( The process you have to follow is:

• Go to OneDrive
• Log out from One Drive
• Log in to your site
• Set up the OneDrive integration
• When the popup appears, Microsoft will ask you to log in. Log in with your business account (assuming that Microsoft allows you to do that)

Please note that the page in the popup which lets you generate the tokens that link Akeeba Backup with OneDrive (OAuth2 page) is managed by Microsoft. We don't have any control over it.

IMHO Dropbox is doing this right. When you reach their OAuth2 page they tell you which account you're logged in with and let you log in with a different one. Even better, if you have a personal and a business account you can be logged in to both at once and choose which one you want. Probably in the next 4-5 years Microsoft will figure out what their competition has been doing since 2014 :)

Sorry, as I told you that's all we can do on our end. We have no other option than to use Microsoft's OneDrive API for signing you in, per Microsoft's official API documentation. The URL we are told to hit is https://login.live.com/oauth20_authorize.srf. What happens after than is out of our hands. As I said, and as you can read in the official Microsoft API documentation page I linked you to, what happens from that point is up to Microsoft.