It was a bit early when I read the OP...
Cr2O72-(aq) + 14H+(aq) + 6e à 2Cr3+(aq) + 7H2O(l) +1.33
AND
Cu2+(aq) + e à Cu+(aq) +0.15
OR
Cu2+(aq) + 2e à Cu(s) +0.34
The more +ve half equation will go to the RHS, the more -ve will go to the LHS.
The feasible reaction happens between Cr2O72- and either Cu+ or Cu forming Cr3+ and Cu2+.
The OP asks why they don't react. The reason is that the reverse reaction (that suggested above) is the feasible reaction, the reverse can't be feasible.