Yes. Depending on what they are looking for, though, the results could be variable and some aspects of testing could be compromised. Also, depends on what body parts they found. TBH, many valuable aspects of forensic analysis is lost with burned bodies. For example, certain aspects of brain autopsy that could help determine cause of death might be unavailable.
(TW: ghastly info ahead)
About the smell: a freshly dead human body being burned smells like...well...most other mammals, but most closely resembles pork. The hair is the smelliest part. Gasoline fumes would initially overwhelm those smells. The smell of burning vinyl or other luggage material would be pretty caustic, though. People who do burn large mammals know that a pit works better (more like an oven) and that stacked wood has to be burned down to very hot coals and then more stacked wood placed around the animal.
Usually, a body won't start smelling for 2-3 days.
Pathologists should be able to derive clues on how long the body was subject to fire.