No, regular silicone will not work. The acetic acid in the silicone will eat away the aluminum metal that makes of the hv anode contact, not to mention the standard silicone does not insulate to 35kV.
It is highly unlikely that any local suppliers will carry it. It is pretty much limited to use on PTV picture tubes that need the hv anode replaced. i.e. Philips, Toshiba, etc.
Pretty much any real servicer that has done warranty repair for several years on the major RPTV brands will have some of the HV rated RTV on hand.