The official policy is that you cannot; F access is only to the lounge of that airline. Unofficially many lounges allow access, but it varies by airline and airport. If you specify which airport and airline we might be able to speculate on how likely it would be. In general BA is the hardest and CX is the easiest. I am fairly sure that the hosting lounge does not get reimbursed for an F admission (while they do get paid for a Oneworld status admission), so they really are doing this as a favour and to be gracious.

Star and OW differ in lots of policies; this is one of them, and baggage allowance is another. Gets confusing sometimes.