Absolutely! These days, much of your website traffic will be from visitors on mobile devices. And while I often use Flash in my designs, these elements will always be backed up by a static image equivalent making your site accessible on all iPhones, iPads, and other mobile devices.
I also offer a Responsive Design, which detects when your site is being accessed from a mobile devices and redirects the visitor to a page that is designed with your cellphone's specifications in mind, from display size to image compression to user experience. And with the 2015 changes to Google's mobile search criteria, a "responsive" design will ensure that your site gets optimal exposure.