Hi @Hasini ,
Do you want to hide the error notification generated by system like this?

If so, I suggest you try IfError function.
The syntax of this function is:
IfError( Value1, Fallback1 [, Value2, Fallback2, ... [, DefaultResult ] ] )
You could use the update formula as the first parameter to test error. But to use this function, you need the second parameter as Fallback.
If you only want to display nothing when meeting errors, try this formula to update your data source.
IfError(
SubmitForm(Form2),"")
//SubmitForm(Form2) is my formula to update my formula, you could replace with your formula to update data source
Then, if you have no error, you will update record. If you have error, you will have no error message and not update record successfully.
Here's a doc about this function for your reference:
https://docs.microsoft.com/en-us/powerapps/maker/canvas-apps/functions/function-iferror
Best regards,