Not particularly. Anti-matter may seem exotic but it's just a part of regular life. Every few seconds a potassium-40 atom in your body will decay in a way that produces a positron (anti-electron) which annihilates with an electron and releases gamma rays. That's one among many common anti-matter reactions that occur regularly around us and within us. High energy reactions are just part of our world, and we live with them. The amount of anti-matter coming from distant galaxies is tiny and not something to worry about on a personal level.