Yes and no.
In theory it would be enough to apply, but in practice it won't be.
Flying anything over 5.7t in Europe, most employers are going to want you to have the ATPL theory done as well as the CPL, Multi Engine Piston rating (twin rating as such), Multi engine instrument rating and also an MCC course. This would give you what is often termed a 'Frozen' ATPL because you have everything needed for the ATPL apart from the experience.
With a fATPL, you may be able to apply to the type of operator you wish to join, although it is worth bearing in mind that a lot will either want you to already be type rated on the aircraft they operate, or be willing to self fund your training on the type. Depending on the type this can be a substantial amount from €17000 for an ATR to over €40000 (I believe) for a Jetstream 31 (thanks to a monopoly).
There are some operators that will either sponsor your type rating or bond you but these ones seem to be getting less and less common.