It is not easy to answer your question because it will depend upon the plasmid. Some plasmids are broad host range and you can conjugate from Acinetobacter to E. coli for example quite easily, other plasmids are narrow how range and will only replicate in the same or very similar species. It is probably that you could transfer most Acinetobacter plasmids to a similar strain like Pseudomonas putida, but there are no guarantees.