Yes, with some cautions. For some user roles, Wordpress "filters" HTML, stripping out the information that SoundCite needs to function. Specifically, for most Wordpress installs, only users with the
editor roles will be able to enter SoundCite clips. Users with the
contributor roles will have the SoundCite information stripped out of their posts. This will also happen if an
contributor edits a post after an
editor has configured SoundCite. For more, see the Roles and Capabilities page of the Wordpress Codex.
You can install the User Role Editor plugin to grant the "unfiltered_html" capability to the "author" and "contributor" roles. There are risks involved in allowing less trusted users to author unfiltered HTML, so consider your own situation before choosing this solution.
Details may be slightly different for Wordpress multiuser sites.