You can! You can pair a Dropbox personal and a Dropbox Business account under the same Dropbox desktop app. Steps to do this can be found here.
You can also have the desktop app installed twice, in case you want to be syncing with two personal accounts with one device. Create user profiles in your computer and link one personal account/email to each users desktop app.
Hope this helps. Get back to me with any questions!
Did this post help you? If so, please give it a Like below. Did this post fix your issue/answer your question? If so please press the 'Accept as Solution' button to help others find it. Still stuck?Ask me a question!(Questions asked in the community will likely receive an answer within 4 hours!)