The theory states that you will create a parallel universe if you time traveled, so you cannot change the past of your current timeline.
Possibly yes, possibly no. There are 3 main theories of time travel. Immutable single timeline, mutable single timeline and mutable multiple timelines.
In a single immutable timeline, you can time travel, but whatever happened, happened. Your perspective might change, you might have your memory altered, you might suffer from amnesia. But if something happened, it will always happen, regardless of what you do. Paradoxes simply don't occur.
In a single mutable timeline, any changes made to the past will basically overwrite the timeline. Paradoxes are a big issue in this version, due to the lack of timelines or imutability to handle them.
In multiple timelines, whatever changes you make fork off new timelines. Paradoxes are resolved by the original timeline and new timeline existing side by side.
Obviously the answer to your question might change depending on the specifics of sub-theories within those main theories and whichever is proven true. So basically the answer to your question is "we don't know yet".
So which one do you believe is most likely true?