Yes, MD Anderson's BioRender access includes publishing rights to publish images in journals and for other academic purposes with proper citation. There is no additional fee.
Instructions on citing BioRender images can be found here: https://help.biorender.com/hc/en-gb/articles/17605511350685-Citing-BioRender. An image will either be cited as an original image created with BioRender or cited as being derived from a BioRender template.
Images may be published on web sites with proper attribution if it is not being sold or used to generate profit in some way, and it is not being used for marketing or publishing purposes.
In some cases, a publication may ask for a license for a BioRender image to prove permission is granted. Steps to download a publication license with your image can be found here: https://help.biorender.com/hc/en-gb/articles/21282829427229-Publishing-in-closed-access-resources