I mean provided you meet the academic requirements and your 6th form provides a positive reference then there's no reason it's not as likely as for anyone else..
That said, while a positive reference is generally a given unless you do something which involves an actual crime of some kind realistically, consistently having suspensions and isolations may be correlated with poorer academic outcomes perhaps. For example - you may miss a lot of content due to repeatedly having these kinds of isolations and suspensions. Equally, the activities leading to those punishments may be things that are leading you to miss things in class - if you're being suspended or isolated due to messing around in lessons, you are likely not going to be taking in the material being presented while you are focused on other things.
So maybe look at the root cause of why you're getting those kinds of punishments and see what personal behavioural changes you can affect to mitigate that, in order to maximise your chances of academic success and thus getting into somewhere like Oxbridge.