Yes, of course! It is like asking, can a batsman go to the field wearing only his knee pads for protection? What do you think will happen?
Because of incomplete protection, he will end up injuring his head, hands, or legs.
This is exactly what will happen if you don't get term insurance and instead, opt only for employer insurance, credit card insurance, government insurance, mutual fund insurance, etc.
The total amount from all of these other insurance policies will not be enough to meet your family's financial needs in your absence.
On the other hand, the amount of one term policy is larger than the amount from multiple other insurance policies.
If you pass away during the policy duration, your family will receive this lumpsum amount aka the life cover which will help them overcome any financial crisis they may face in your absence, especially if you are the sole breadwinner.
So, to answer your question, yes, you need term insurance even if you have other insurance policies so that your family is protected not just partially but completely.