Set-Reset Latches and D Latches
No, the Q and Q' are outputs. As you can see in this NAND-based vircuit they each have an output connected to them, so you cannot connect another output to either one.



You have the two inputs /S and /R to influence the Q(t)/Q'(t).

PS you mention both SR and D latches, but I see no question about D latches. But fro a D latch the outputs are the same (Q and Q'), and you can't connect any other output to them.