Hi @viraj124,
OpenZeppelin Test Environment spins up a local ganache instance.
For testing with fork, see the following: How to use mainnet forking in solidity tests
For simulating the passing of time with OpenZeppelin Test Environment you can use OpenZeppelin Test Helpers: https://docs.openzeppelin.com/test-helpers/0.5/api#time rather than ganache-time-traveler.
I don’t see anything else obvious in your test. Are you able to share a snippet of the contract that you are trying to test so I can try to reproduce?