The short answer is no. This is because while you are in bankruptcy you should not be incurring new debt without court permission. Most of the time a credit card will not issue a card to someone who is in an active bankruptcy case, because they do not want to violate the bankruptcy code and face sanctions from the bankruptcy court. Furthermore any cards that a debtor has prior to filing the case will be discharged in the bankruptcy case, except under rare exceptions. Therefore the debtor will not be able to continue to use their cards.
The entire point of a bankruptcy case is to get a fresh start and to get rid of the debt and allowing a debtor to continue to incur debt while in the bankruptcy case complicates and frustrates this goal. When preparing to file a bankruptcy case a debtor must take a look at their finances and make sure that they are living within their means and question why they would have a need to continue to spend on credit.