No, it does with simple interest but not with compound interest because the interest is also earning interest.
Compound interest = FV - PV
and
FV = PV x (1 + i)^n
For example if PV = 100 and n = 1 and i=10%
Compound interest = 100 x 1.1^1 - 100 =10
If time is doubled n=2
Compound interest = 100 x 1.1^2 -100 = 21
NO.
when working with compound interest, does doubling the time of an investment double the amount of interest earned?