Does valgrind -tool=massif have a similar control like callgrind to profile memory for only a certain period? Can we turn the profiling on and off during a problem run?
No. Massif does not even have a header with user request macros.
It's not what you're asking, but if you're using Massif you might be interested in the new xtree result visualization feature, part of the imminent Valgrind 3.13