Surely, but as far as I know, directly transferring data from WordPress to Magento is not possible. Firstly you could download your data from your WordPress site and set it according to your preference using theme and extensions after creating a Magento site. After that upload the data accordingly on your Magento site. For the best performance of your site opt for Managed Magento Hosting and make sure not to add any invalid data, as it may have an impact on your Magento site.
