Can Coast Guard transfer to Space Force?

Currently an E5 informations systems technician in the coast guard. Will be hitting my 4 years next year and haven’t reenlisted yet. Currently weighing my options. Not wanting to stay in the coast guard. Really wanting to explore my passion and do something regarding space. Was either going to get out and get a degree in mechanical engineering and work for a private company but if I’m able to transfer to work in that field and still be enlisted then I’d much prefer that. Don't see anything regarding Coast Guard being able to transfer but maybe someone in that branch knows where to look? Also if they allow it, would it even be worth my wild? I can imagine it’s super competitive.