Anythings possible, however the market is still shakey and will be for sometime yet so unless the planets align you would more than likely have to work a ground based job first (Ramp, Dispatching, etc) - this could be upwards of two years or so.
The other catch is quite a few clients of King Air and similar typed operators require certain minimum times which at first may seem excessive (2000tt, 500 multi is not unheard of) so with only 400tt you will have a smaller list of companies who would hire direct entry, and there are a lot of guys with more time who have been laid off, so again ramp work would be your best routing at present.