Yes, you can. You’re entitled to a week and a half’s pay for each year of employment (working for your current employer) that you’ve worked over the age of 41.
Many people in the older age brackets feel as though they are disregarded or discriminated against because of their age, and worry that they may be made redundant as a result. This is unlawful, and would be classed as age discrimination.
Unfortunately, you may need to pay tax on your redundancy pay if your final payment exceeds £30,000.