It depends on what you mean by cloud services. The latest version of Edge Animate does require a creative cloud account. Edge Animate FAQ
However, you can get a trial version for free for 30 days.
If you have a Creative Cloud Account you can download the software to your desktop and use it offline, just as you would use any other Adobe product.
Just as with Dreamweaver or Muse you can use Adobe TypeKit Fonts, which does require a connection to the Creative Cloud.