Not exactly. But as a workaround, you can create your own mailing list (called a "group") for all the employees who want to share an email address. This requires that your administrator has enabled User-Managed groups for your domain. If user-managed groups aren't available, then you should ask your Google Apps administrator to set up a mailing list (group) for all the employees who want to share an email address.
Or if email delegation is enabled for your domain, you can use that to allow up to 10 other users access a single email account.