The answer
Yes, of course. There is no doubt that they can. And we have the clear example of this in the story of the rich man and the poor Lazarus, where the Bible says that after they had both died, the rich man:
"looked up and saw Abraham far away, with Lazarus by his side. So he called to him, 'Father Abraham, have pity on me'." (Luke 16:23).
We notice here that the rich man knew which was Lazarus and which was Abraham, and we also see that Abraham knew that one of them had received his blessings on earth, while the other had suffered troubles.
Therefore it is clear from this that a spirit's capacity to recognise extends to those whom the person has seen before as well as to those whom he has not.
For the rich man not only recognised Lazarus whom he had seen with his own eyes in the world, while he was alive, but he also recognised Abraham whom he had never met or ever set eyes on. In the same way our forefather Abraham recognised both of them.
The knowledge of the spirits become very extensive after they have become separated from the body.
Thus we find our master St Paul saying: "Now we see but a poor reflection as in a mirror; then we shall see face to face. Now I know in part; then I shall know fully, even as I am fully known". (1Cor. 13:12).
Thrice-Blessed Pope Shenouda III of Blessed Memory