If it is not the requirement of the policy than I am afraid you can't.
But if you want to submit your medical report with the proposal form, you can do it at your own cost.2- I am ready to pay the cost of the medicals on my own.
No issues, if you submit all the details about your present health and all other relevant details with the proposal form. Also read this article.3- Will there be any problem later on in claim due to this?