Is there any relation/leak between two sections of LM358 op-amp?
There is a very slight interaction between the two amplifiers at  low frequencies that is likely equivalent to a few uV of Vos shift. 

That is in part due to the shared bias network. Changing dissipation from the output section of one amplifier can cause temperature gradients across the die as well has heating, as @analogsystemsrf mentions in a comment, which will cause Vos changes in the other amplifier. 

If both amplifiers are working with signals measured in volts it won’t likely be noticeable, let alone problematic.