RestAPI is your best bet where you can programatically compile your list and feed it into the query, instead of manually plugging in one value at a time in the UI (to answer your question, as far as I know there is no way to do that). If I have to be honest it does take a bit to learn the syntax of the criteria URL parameter which you need, as I found the documentation to be a bit scarce especially for more complex criterias BUT it is doable (if you have any AVP/Lab Advocate they may help you as well). Here is an example of a query to pull:
https://bigfixinventory:9081/api/sam/v2/software_instances?token=XXX;criteria={“and”:[{“or”:[[“component_name”, “contains”, “Name1”], [“component_name”, “contains”, “Name2”]]}, [“is_present”, “=”, “1”]]}
Just put a valid token and your own url and it should work. The output is JSON format, so you may need to change the format depending on what you need it as.