Yes they do.
The small lump sum rules allow someone aged 55 or over to take a lump sum of no more than £10,000 so long as that extinguishes their rights under the scheme (occupational) or arrangement (personal pension or stakeholder) plan. For personal pension or stakeholder arrangements, three such lump sums could be taken in somebody's lifetime. There is no limit to the number of unrelated* occupational schemes that could be commuted in this way.
The trivial commutation rules allow someone in a defined benefits scheme aged 55 or over with total pension rights of no more than £30,000 to take them as a lump sum. Benefits can be taken before age 55 if the member meets the ill-health requirement or if the member has a protected pension age.
So if someone takes their small lump sums first and their remaining defined benefits pension rights are then within £30,000, potentially rights of up to £60,000 could be taken - 3 personal pension or stakeholder lump sums of £10,000 each and then £30,000 under trivial commutation.
* If the scheme is a larger pension scheme, there is no need to include rights under a related scheme. A larger pension scheme is one that has at least 50 members and meets various other conditions.
HMRC Pensions Tax Manual - PTM063700: Small pension payments (opens in a new window)
HMRC Pensions Tax Manual - PTM063500: Trivial commutation lump sum (opens in a new window)