Anyone elses toddler like this?

[Humptydumpty666]

My LO (2) screams at me to go away/go in the other room sayd he doesn't like mummy. So I do just that and let him entertain himself for the day. Is this normal for toddler

Not for an entire day, no.

It's normal for them to say that during a strop. It's normal for them to want some time alone.

It's not normal if he regularly spends long periods of time alone.

Not normal at all or safe for your 2 year old to be spending prolonged periods of time by themselves.

Wanting some space to play independently is fine but you should still be in the room supervising them.