Does Krishna force us to exist?

You raise an interesting philosophical question. Generally ‘to force’ is to make someone do something, or accept something, against their will. So it would be the case that Krishna forces us to exist only if ultimately we do not desire to exist. The soul ultimately does seek happiness and life, and so Krishna is not really forcing us to exist. In the case of people who are suicidal, or ‘tired of life,’ Krishna does offer a variety of temporary solutions, such as lower forms of life that are almost unconscious, with virtually no developed sense of self. There is also impersonalism. But again, every soul ultimately does embrace life, and so Krishna is not really forcing anyone. Actually, to exist is the greatest gift.