It absolutely can be done but there are a couple bits of reality that you need to accept:
1) The time available for a return on investment is relatively short so, depending on your family finances, you should be very, very careful about the financial costs and opportunity costs associated with this decision.
2) Age discrimination is alive and real and ~could~ impact your ability to gain meaningful employment. I would assess your health, fitness, energy level, and even your apparent age and appearance to get some sense of how likely you are to face this (illegal but common) barrier and then take whatever steps you can to enhance/improve those characteristics. For example, in the months before I began job hunting as a new grad at the age of 45, I experimented with treatments and makeup to mask the dark bags under my eyes. I paid for an upscale hairstylist to give me a modern 'do and was very careful about other signals of aging... posture, word choice, and other grooming issues that I normally don't worry about.
3) Health and fitness matter in this profession, particularly depending what you end up doing. Particularly as a newbie, many or most nursing roles entail 12-hr shifts which are spent mostly on your feet. Again depending on the facility and role, you may find yourself requiring significant core and upper body strength to perform the patient care that's necessary.
How are your knees and hips and feet and back? Have you ever suffered any kind of back injury or chronic back pain?
4) Touching on finances... are you in a position to fail? What I mean is simply that, with all of us, there's a chance of failing the program, failing to pass the NCLEX, failing to find a job after graduation, or failing to find a good job (this latter was what happened to me). It took me 2.5 years of working 200+ miles from home for substandard wages and even worse benefits in a pretty crappy situation. Fortunately, I was in a position to withstand the conditions until I was able to find something better but I had become very discouraged and was starting to think that I had chosen poorly in becoming a nurse in my mid-40's.
As things ultimately turned out, at least to this point, I'm very pleased with my decision and consider it one of the 3 best choices of my life.
I am all for rejecting the stereotypes of aging that pervade our culture but, as with all stereotypes, there is an element of truth in them and it's important to honestly assess your personal situation and not just blindly accept the "you can do it!" encouragement that so commonly follows posts such as yours.