If this is allowable then could it be withdrawn without being counted as "income".

You must have some form of compensation in order to fund an IRA, which means wages, salary, bonuses, commissions, etc. Pension and investment income doesn't count.

I don't understand what you mean by withdrawing "without it being counted as income" - please explain. Are you asking about a Roth IRA?

My point is that I am presently retired and making withdrawals from my IRA. Can I invest additional dollars of would be excess social security income in my IRA? Then receive distributions from the IRA as non-income at a later date.

No - social security income is not considered to be compensation. So unless you have some form of compensation you can not add to your IRA. And the distributions you take from an IRA is taxable income unless you have a Roth IRA.