Then yes, it's possible, with the like operator mentioned above (and ways how to do that from GUI). But don't forget about performance implications; the query will likely scan all records.
It still sounds like a bad database design, namely a violation of the first normal form. You can avoid your problems with querying if you design the data model in a more suitable way.
If "12-345, 12345, 12/345" represents three alternative names, this 1:n relation should be represented by a joined table with three records. Then you can easily search values look for "12345" and it will be found, and you can have an index for these values.
Similarly, "Admin, Business Meetings-12345" represents a few different things and therefore it should be split to several columns.