Yes.  Even if you are found to be partly at fault, so long as you are not 100% at fault for your injury, FELA allows for an employee to sue their employer.

If you have been hurt while working on the railroad, it is important that you notify your supervisor of the nature and extent of your injuries and to seek medical attention as soon as possible.  You should also contact your union representative immediately.  It is always best to contact an experienced railroad injury lawyer before [...]