There's nothing stopping you. However, make sure you go in with eyes wide open:
-The Academy stage of training will probably last longer than you expect, and longer than what you are told at the beginning of the course. Can your family budget afford the fairly-poor training wage for 18 months or more?
-You will need extremely understanding and supportive family - for the best chance at success, you need to dedicate virtually everything to your goal while you are training: home study, getting enough rest, no holidays (outside the standard shutdown periods) while you're at the college.
-You will probably learn at a slower rate than your younger course mates. There's very little consolidation time built in to the course. Expect to need to do extra sim exercises, in your own time, to consolidate your learning.
-Historically those over 30 at the beginning of training do have a lower success rate at the end. That doesn't mean it's impossible - not at all - but other lifestyle factors (responsibilities like a wife and kids or a mortgage, for example!) do tend to pile on the pressure for people in your situation. While you're training, the more of those external factors that you can quarantine yourself from, the better - but that's not always compatible with family life.
It's a great job if you do get there, though. Good luck.