Did Andrew have some inkling that Jesus would perform a miracle with the boy's lunch?

John 6:

5 When Jesus looked up and saw a great crowd coming toward him, he said to Philip, “Where shall we buy bread for these people to eat?” 6 He asked this only to test him, for he already had in mind what he was going to do.

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Jesus knew he was going to perform a miracle.

7 Philip answered him, “It would take more than half a year’s wages to buy enough bread for each one to have a bite!”

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Philip failed the test. Andrew volunteered to say something:

8 Another of his disciples, Andrew, Simon Peter’s brother, spoke up, 9 “Here is a boy with five small barley loaves and two small fish, but how far will they go among so many?”

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Did Andrew know that Jesus was going to perform a miracle?

Not exactly. Andrew's remark—"but what are they for so many?" reflected a mix of doubt and curiosity. By this point in Jesus' ministry, Andrew and the other disciples had already witnessed numerous miracles, including turning water into wine, healings and exorcisms. While Andrew might not have fully anticipated the specific miracle of multiplying food, the fact that he brought the boy's lunch to Jesus' attention suggested that he thought Jesus might do something with it. Sure enough:

10 Jesus said, “Have the people sit down.” There was plenty of grass in that place, and they sat down (about five thousand men were there). 11 Jesus then took the loaves, gave thanks, and distributed to those who were seated as much as they wanted. He did the same with the fish.

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In John 1:40-42, Andrew introduced his brother Simon Peter to Jesus. In John 12:20-22, he facilitated a request from some Greeks who wished to see Jesus. Andrew had a habit of bringing things to Jesus' attention and letting Jesus decide what to do with them.

Did Andrew have some inkling that Jesus would perform a miracle with the boy's lunch?

He might have some inkling about it, but he wasn't sure that Jesus would actually multiply the boy's lunch.

Some months later, Jesus multiplied food again in Mt 15:

32 Jesus called his disciples to him and said, “I have compassion on the crowd because they have been with me now three days and have nothing to eat. And I am unwilling to send them away hungry, lest they faint on the way.” 33 And the disciples said to him, “Where are we to get enough bread in such a desolate place to feed so great a crowd?”

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The disciples weren't fast learners