It will help, but that's the least of your worries. Looking at your graphs, there's two main problems:
Firstly, the current draw in the first 300mS is ridiculous; if a circuit breaker doesn't trip in time, your circuit will burst into flames.
Secondly, after the first few hundred mS, when the circuit has settled down, the current draw at the input is horribly unsymmetrical, with a totally wrong waveform.
Getting back to the first few hundred mS, what is going on there? The output voltage jumps up almost instantly to about 450V, far above what it should be, then just sits there for 200mS without even any ripple. Meanwhile hundreds of amps of current are being drawn from the input. Where is that current going? As far as I can see, the switching transistor is shunting it straight to ground.
It would be useful to look at the gate voltage and the voltage on the right of the inductor to see what's going on with the switching.
The UCC28019 is supposed to provide PFC, soft start and overcurrent protection. Your circuit isn't doing any of those.