Life existing beyond our space-time dimension

[Welsh cake]

can life organize itself on other planets? can other forms of life exist on jupiter, the cloudy planet . . . can life exist in other parts of the universe in which we have not comprehended yet?

i want to take this concept even farther.

what kinds of life would exist inside of the 4th dimensional world?

That's basically the same question on whether life can exist in places which we have not comprehended yet.

The only sensible, rational and honest answer to your loaded question is: we don't know. To assert anything else about it properties or attributes is pure speculation at this point.