Chandy/Misra dining philosophers solution
Yes. Whenever a philosopher asks for a fork that is dirty, the philosopher who currently has that fork cleans it and gives it to the person who asked for it.

So, in the initial position, 1&nbsp;has two dirty forks and can eat, 2, 3 and&nbsp;4 have one dirty fork each and 5&nbsp;has no forks at all. If 3&nbsp;requests a fork from&nbsp;4, 4&nbsp;cleans it and gives it to&nbsp;him. This leads to the state where 1&nbsp;has two dirty forks and can eat, 2&nbsp;has one dirty fork, 3&nbsp;has one clean fork and one dirty fork and can eat, and 4 and&nbsp;5 have no fork.