It depends on the airlines training bond policy.
For example Eastern Airlines and Cityjet both have a training "bond" that is infact a loan taken out in your name (the airline makes the loan repayments for you during your bond period). This is a way to get around the tenuous nature of training bonds, because in the event of you leaving the company early the loan is in your name and you are personally liable (so in fact not really a training bond). I believe the Easyjet TRSS entry route use to entail a similar loan arrangement.
In this instance it is likely that due to your bankrupcy you will not be approved for the loan; hence in this case the airline will be unable to employ you. Further to this a number of companies have straight out Self Sponsored type ratings, so if you don't have the cash to pay for the rating then once more you may find it difficult to obtain a loan for such a scheme.
So while it doesn't stop you obtaining employment, it will certainly limit the companies that you are able to work for.