Hi,
Easy Profile does not do this, anyway there are some workaround, for example with CSS like:
/* For Menu item search */
#jform_bereich_chzn li.active-result[data-option-array-index="2"] {display:none !important;}
/* For Module, replace 123 with the module ID */
#jsearchform123_bereich_chzn li.active-result[data-option-array-index="2"] {display:none !important;}
NOTE: replace 2 with the position of the options, for example if the option is the number 7 then replace with 6 (because the index starts from 0)