Is it permissible to work in preparing research and translation online, knowing that it might be considered academic theft or deception, given the inability to do any other work due to illness and physical disability?

It is not permissible to steal research and studies that their owners prohibit from publishing, whereas it is permissible to benefit from and quote from research, and to transmit research that its owners have not prohibited. Likewise, it is not permissible to prepare research for someone to present as if they had prepared it themselves. In contrast, writing research and translating in permissible and beneficial matters is permissible.