Imho, there is such possibility.
Не читав письмо от мамы, он ушёл. — he has read nothing in the letter
Не дочитав письмо от мамы, он ушёл. — he started to read but hasn't finished
Не прочитав письмо от мамы, он ушёл. — we don't know if he read some part of the letter or not