Yes of course - we no longer use Flash to render our characters - we use modern HTML5 animation that works on all browsers and platforms.
When you choose to publish your character you will see several options, one of them is "embed code" - when you select this option, you can grab a piece of code to place on your page to publish your Voki.
If you encounter this problem, your only option is to publish the URL (use "get URL" publish option) to provide visitors a link to click on. I know full well it is not the same & if you encounter this issue in your favorite platform, we encourage you to write to them and ask them to make an exception and allow Voki on your page.
The Voki Team
Customer support service by UserEcho