I have a higher income can I be ordered to pay Attorney fees if I am Pro Se?

The general rule is each side pays their own attorney's fees. This can be modified by contract or in certain situations where various statutes apply. A judge may also have discretion to award attorney's fees as an equitable remedy. I am not aware of any direct connection between someone being pro se and having to pay attorney's fees as a result.

In family law, attorney fees can be ordered pursuant to Family Code section 2030. Thus, if there is a disparity in income, you could be ordered to contribute to fees of the other party. The Court will assess child support first though and then analyze the income disparity.

Yes. In fact it is very likely if you have a substantially higher income.

I have received an award of attorney fees when the other side was pro se. It depends on the facts of the case.