Hi @Vikas Shah,
As per my knowledge, I'm afraid the answer to this question is NO. I haven't heard any OOTB way which can migrate permissions between tenants. This is also why migration between tenants is not recommended by Microsoft. It appears that you have to rebuild the permission infrastructure in your new tenant. As to 3rd party tools like ShareGate, I am not sure if this can be achieved from them. You can contact 3rd party support to confirm your scenario with them.
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