Several people I know use sentences of the form:
Can you help me [do something]?
to mean what I would phrase as "can you [do something] for me?", i.e. they request that I do the entirety of the work on their behalf, while in my understanding "to help" means that they would do the work while I'd provide some assistance or advice.
For instance they'd say
Can you help me open this bottle? Can you help me buy him a gift?
when I would say
Can you open this bottle for me? Can you buy him a gift on my behalf?
Is theirs an accepted usage of the verb "to help"?
I found no such indication on online dictionaries. I used to correct them but I've discussed with several people to notice they all use "to help" in that sense. Most of them lived in Vietnam so it may be a regional peculiarity.