No. We have a saying on my team: "It's my first day"
It's tongue in cheek, but there is a kernel of realism to it. Every day we are learning something new, regardless of how long we've been programming. There are no experts, and every day brings something new. It's why we love it, and why it stresses us out.
Or to paraphrase Jayme Edwards (Healthy Software Developer), software isn't like building a bridge or stamping out widgets, it's knowledge work. It's impossible to estimate how long, or difficult, something will be because every project we are, hopefully, building something new or unknown.
You are absolutely never too old to become a programmer. In fact, I'm sure you will bring non-technical experience, maybe about an aspect of business or a process or a role to the team that would otherwise be unrepresented by someone right out of college with a CS or MIS degree.
YES, you CAN be a programmer!! Just remember to take it slow, keep learning, and make time to enjoy life!!