The answer is no, and it’s an important point to make, as for many decades parents of children with bipolar disorder and other biologically-based brain disorders have been saddled with the accusations and associated guilt that they were somehow responsible for causing the problem. The psychiatric profession had quite a lot to do with this.
Nineteenth-century theories, many originating with Sigmund Freud, postulated that almost all psychiatric illnesses were caused by early-life events and traumas, and could be cured through intensive talking therapies. These theories took some interesting forms, and until the 1960s the concept of a “schizophrenogenic mother” (a mother who through erratic parenting could make her child develop schizophrenia), was very much in vogue. As science has progressed and it’s become clear that these were biologically based (nature rather than nurture) conditions, these earlier theories have been largely dropped.
While a parent cannot make his child have bipolar disorder, it is true that susceptible children who are severely abused and/or neglected are more likely to develop a host of psychological problems. Also, there is a connection between stress and the onset of mood episodes (especially the first ones), so a highly volatile and conflicted home environment will increase the chances of a susceptible person developing a mood episode.