Yes. Tissue culture is most of my job.
You will likely need a laminar flow hood, which can be purchased from mycology hobbyist suppliers (e.g. Fungi Perfecti) to keep the cultures clean. I had an adviser once who swore this was not necessary, but he also spent a lot of time complaining about contaminations, so I'd say it probably is a requirement. They are not cheap.
You will need to find someone to teach you aseptic technique. If there are any mycology classes near you, or something like Red Cross Bloodborne Pathogens training, that includes a reasonable amount of aseptic technique training. Basically, nothing non-sterile can touch anything that needs to be sterile, but until someone stands over you and nitpicks your every hand motion, you won't really "get" it. Or if there are reasonably-priced undergrad-level bacteriology courses at a college/university near you, those classes are sometimes available to audit for cheap.
Plant tissue culture is relatively easy because the media used won't support anything other than plants and yeasts. But you will need to keep airborne and skin-carried yeasts out of your cultures, and that takes both skill and practice.
Be warned: textbooks on the subject are not cheap.
