Jabod You can email a scan of the passport pages to the translation bureau before you travel and then pick up the notarized translation on the day of your arrival. This is what I am planning to do in a few days' time.
So, I have submitted the translation request today and the transalation will be ready for me to pick up on my first day in Moscow next week.
I think most of these translation agencies promise a one-day turnaround so you should be fine as long as you get in touch a few days before you arrive. My translation plus notarization cost 1500 roubles, which seems like a good deal.
One WORD OF WARNING. I submitted my initial request by email (Outlook), but got no reply. So I then resubmitted the request through a form on their website, and this time included my Telegram address as well as my email. The translation bureau then wrote to my Telegram address, saying they had been unable to contact me by email.
So I am discovering that my Outlook email is pretty much useless for correspondence with Russia. It is vital to set up an email address that will work in Russia.
And it is also very useful to have a Telegram address. This was the method the agency eventually used to get in touch with me and confirm the order. In general, it is a default communication method for many Russian businesses. So a good job that I recently set up a Telegram account..