In general no unless there's one that's warped just the right way. Which is unlikely. (Also it comes down to cardinality of the involved infinities. If we have

In general no unless there's one that's warped just the right way. Which is unlikely. (Also it comes down to cardinality of the involved infinities. If we have countably many infinite dimensions but uncountably many points in each one of them, then you have a "lot more" point-point pairs than dimensions.)