Is it possible to get liposuction burns using vaser vibrasat liposuction?

VASER has a high risk of burning if you do not know what you are doing.
You need a formal evaluation by an expert in body shaping and contouring to determine what is best.  Traditional liposuction awake and smart liposuction are old methods and do very poorly for tightening skin or significant skin tightening or contouring.  Small problem areas can be improved slightly by these methods.  The best in body contouring not only removes fat with energy devices like VASER ultrasound but also internally heat the skin with radio-frequency devices such as J PLASMA/RENUVION, InMode BodyTite, ThermiRF to heat the under surface of the skin and tighten it at the same time as fat removal. These combinations are called 4D HIDEF VASER contouring and can only be done by a well . trained body contouring specialist. At the same time fat should be harvested, PRP and stem cells added and injected into muscles or indentations/cellulite to get body shaping and contouring.  This is known as a Brazilian butt lift when you inject the fat to the buttock for contouring and lifting, but fat can also be used in areas such as the chest/breast, arms/shoulders, calves and face.  Cellulite should also be treated with cellfina, sculptra, subcision and/or fillers such as bellafill, renuva synthetic fat, or sculptra.  If skin is very loose before surgery then it will need to be removed such as lower abdominal skin (tummy tuck/abdominoplasty), breast skin (breast lift), arm skin (brachioplasty).  Overall you need a full assessment, but simple liposuction alone will not tighten skin and needs a combination of various methods -- fat removal, skin tightening, defining, fat grafting, skin removal -- to get the best in body contouring and body sculpting.  Dr. Emer.

The Gold Standard for superior liposuction results requires use of the advanced technology of ultrasound assisted VASER liposuction. As an official trainer of VASER liposuction, I perform full body liposuction cases every week. VASER liposuction has been the only modality that has consistently resulted in outstanding liposuction outcomes. VASER liposuction ensures a smooth contour regardless of degree of excess fat by virtue of being able to remove any and all remaining fat comprehensively and uniformly. If skin redundancy is observed, Renuvion technology can be simultaneously applied to tighten your skin to optimize your overall contour outcome. A Skype or FaceTime consultation with a VASER specialist will help you get an accurate recommendation and pricing.

Respectfully,
Arian Mowlavi MD, FACS
Realself 100 Hall of Fame Inductee

Which you describe is VASER  in combination with power assisted Liposuction.
VASER also known as ultrasound assisted Liposuction is an ultrasound probe that breaks apart and damages tissue selectively. similar devices are used for liver resection and other types of tissue when  soft tissue needs to be destroyed. The ultrasound probe is passed through the fat multiple times before the fat is removed using Liposuction.
In this case the fat is removed using a type of Liposuction called vibrastat.
This is a trade name for another power assisted Liposuction device.
In power assisted Liposuction the Liposuction cannula vibrates rapidly while removing the fat.
Power assisted Liposuction is highly unlikely to cause skin damage and is very safe.
If the ultrasound probe of the VASER device is set at high settings and pushed up against the back of the skin the skin that can be damaged and while not a thermal burn it may appear like one. 
Plastic surgeons who use this device for the most part know better than to set the device and very high energy levels and usually know better than to push the ultrasound probe against the back of the skin for long periods of time. The probe should not touch the skin at all. 
It has happened so the answer to your question is yes it can happen.
The chance of this happening in the hands of a skilled provider is very close to zero.
Personally I’m a big fan of power assisted liposuction and use both microaire and tickle Lipo.  I have not tried the vibrastat.  I have first-hand experience with VASER and don’t regularly use it. 
Best, 
Mats Hagstrom MD