Yes, it is possible for your Vaio SVF15A16CXB, but there may be modifications on the internal parts. You may visit Sony's Authorized Service Center for assistance. I will send you a private message for the details.
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Please provide me with any details for performing this SVF15a16cxb upgrade to SSD hard disk. Is there a special controller card or mounting bracket required, or should a standard SSD hard disk mount and install properly?