but is there such a thing as a plug in self charging hybrid,
No. One excludes the possibility of the other.
Hybrids or 'self charging hybrids' as Toyota now calls them are cars with a petrol engine, a small battery and an electric motor. The battery is charged from the petrol engine and when braking which uses the motor as a generator.
They can drive short distances on electric only, and can have the electric motor provide assistance to the petrol engine, or drive on the petrol engine only. They have been available for the best part of 30 years, and their peak occurred over a decade ago.
A plug in hybrid is basically the same thing with the addition of a charge port so the battery can be charged using electricity from a power outlet. The rest of the system is the same, so the battery can also be charged from the engine and braking.
A 'plug in self charging hybrid' is just called a plug in hybrid.
Other variants:
the 'mild hybrid' which has an even smaller battery and a feeble electric motor so that the battery is only charged from the engine and braking. The motor cannot move the car on it's own, the engine is used 100% of the time with a tiny bit of assistance from the electric motor some of the time. No plug in option, and they only exist so that manufacturers can continue selling petrol engine vehicles for a bit longer.
The 'e-power' contraptions which Nissan sells where a petrol engine charges a small battery and that is used to power an electric motor. The engine cannot move the vehicle, it's sole purpose is to charge the battery. It's an electric car entirely powered by petrol with no option to charge using electricity. No actual use case for such things exists and it's a mystery why anyone would ever consider such a thing.
Range extended EVs, which are electric vehicles that are usually charged from an electrical outlet, but also have a petrol engine generator in the back to charge the battery and provide extra range. Very few were made and those who bought such items rarely used the extender part. Obsolete now that EVs can do 100s of miles on a charge.