Yes you can but it depends on which independent broker dealer you associate yourself with. Some BD's don't like the idea of taking on Independent Brokers who will be doing the job part time for obvious reasons....overhead, costs, compliance, etc.
Also, it depends on what primary job will be . Is it investment related?
For the most part if you have a amount of AUM, fairly clean CRD, and are producing to a firms minimum monthly requirements there are some independent BD's that will allow it.
Best of Luck