I am not looking for myself I am curious to know if insurer can give beyond 65 with affordable premiums for term insurance
How do you think the math works? Everyone will eventually die, and the insurance company has to pay for its various overheads and collect a reasonable profit.
Let’s suppose you die at age 70. That’s 5 years into a retirement you planned to last 20+ years (for example). Your dependent, if you have one, presumably inherits the entire remainder of your estate. That was enough for you to live on for 20+ more years (presumably), so why wouldn’t it be enough for your dependent (who’s now 40 let’s suppose) to live for another 20+ years? It would be, surely.
Life insurance works great for income replacement (of a deceased breadwinner). But it just isn't a great tool for solving the sort of problem you're describing, for example caring for a profoundly disabled child for the rest of the child's life. Life insurance is basically backwards approaching/after retirement: it pays if you die sooner in retirement, precisely when your estate is bigger (hasn't been whittled down yet). (Whole life insurance is arguably a little better oriented, but...) Typically what you'd do instead (and much more effectively) is nail down your modest retirement lifestyle with an adequate life annuity income stream then use all surplus to support your (still) dependent with lifetime gifts and/or the purchase of a life annuity income stream for him/her. Starting with maxing out CPF LIFE since that's the best such deal going.