My first sales position was at an interpreting company.
It was quite common for customers to request an interpreter to also join the informal part. Just make sure that you discuss with the interpreter what is expected of him/her. If it is all fun and games and you just want to make sure that you don't miss out on anything, the interpreter can join you for drinks and food. If the dinner is part of the negotiation or getting to know each other better phase, then the interpreter can better not eat when you are eating. It would be embarrassing if your Japanese partner asks you a question, and you have to wait for the interpreter to empty her mouth..
If you want to make sure, you can always ask partner if it is ok to bring an interpreter. Maybe they have already asked an English speaking colleague to do the interpreting, so you don't need to hire one. As long as you ask, you should be good. You shouldn't go by gender, but by experience. I think it is much more important that the interpreter has experience in your field (e.g. banking and IT jargon) than what gender the interpreter is. He/she is not a party in the meeting. He/She just helps you understand each other.
Good luck!