What ideas you can’t come up with?
Can two people come up with the same idea?
Are the limits of imagination determined by the limits of social interaction?
I don’t know, since if I did know then I could come up with them.
Interesting question though. It forces me to try thinking beyond the limits of what I have previously thought. Very cool 
Yes, absolutely they can. This is already the basis for language and mutual conversation/communication between people.
Most probably the limits of imagination are determined TO SOME EXTENT by the limits of our social interactions. But how to map out that specific “to some extent” is the tough question. I would not say it is 100%, but certainly not 0% either.
In fact it seems like the more intellectually elevated and imaginative/creative someone is, the lower that percentage of “to some extent” would be. While a more unthinking, boring sort of person probably limits their imagination to an approximative guess or estimate of the limits of their social interactions, as you noted.
But the more interesting question for me would be: is it possible to imagine completely beyond the limits of one’s social interactions? I would think this must be possible at least in certain cases or under certain conditions. How do we define social interaction though? We can read books, watch movies, listen to music, all of that can inspire our imagination yet would you consider that part of the limits of our social interaction?
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Ideas are infinite -like all immaterial things have the capacity to be- so there is no question of can’t, but can.
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Yes.. most notably those from the same socio-educational background.
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No.. I found that many social interactions limit my ability for my imagination and thoughts to flow freely/run wild unfettered, due to the hindering effect of others’ shortcomings.
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