yes, but we, as supporters, should not have to google what a person asking for support is talking about. at the very least, a link provided would be helpful and save time for everyone involved.
after a quick glance at the home page linked above, I do not see where it is a hosting company.
it looks more like a platform for developing apps or whatever.
so, my guess would be that no, google firebase is not a hosting company and does not meet the requirements of phpbb for hosting.
you need a normal hosting account at a normal hosting company to install and run a bulletin board like you do for any other website.