HIPAA stands for the the Health Insurance Portability and Accountability Act of 1996 and HITECH stands for the Health Information Technology for Economic and Clinical Health Act (2009). These two US laws aim to encourage the use of technology in the health care industry while building security and privacy protections for Protected Health Information (PHI).
There is no official HIPAA or HITECH certification and therefore no one tool can say they are "compliant". What we can say is that you can use PicSafe in a way that is compliant with HIPAA/HITECH regulations.
Box in conjunction with PicSafe can use used to help you comply with HIPAA and HITECH. Please see the Box HIPAA And HITECH Overview And FAQs for more information.
Dropbox in conjunction with PicSafe can use used to help you comply with HIPAA and HITECH. Please see the HIPAA/HITECH section of the Standards and regulations page on their site. See there "Getting Started with HIPAA" guide and Help Center article for more detailed information.