It really depends what is meant by that word ‘mind’.
If we mean the particular mind of Mr Smith who died in 1953, then the answer is ‘yes’ - because the world continues to exist despite the fact that Mr Smith’s mind passed out of existence many years ago.
If we mean more generally the mind of people or nonhuman animals, or even of plants - or of some kind of pan-psychic proto-‘mind’ that inheres in every particle of matter - then it is more difficult to say.
One can imagine a universe bereft of all sensing, sentient subjects - such as at the dawn of creation, in the first few infinitesimally small units of time after the big bang (or just before it) - but such an imagination can only take place in the mind of a living subject. The whole universe with its billions of galaxies, each populated with their billions of stars and planets, only exists in the mind of a subject who is aware and perceiving. There is no object without a subject.
So, it seems to me, you are really asking the question: what would this universe be if there were no sentient subjects - no mind at all, of whatever kind - to perceive it? Would it have any existence at all?
And if it did, what kind of existence would it have, what form? - if there were no senses of sight, hearing, touch, taste or smell? - no sensible intuitions of time or space? - no synthesis of the imagination to supply the relation of cause to effect?
Is there a mind that can be so equally bereft of all sentience and being that it might answer this question? Is there a mind so truly empty that the universe might reveal itself without being in any way, shape, or form shaped by it in terms of its appearance?
In certain forms of Buddhism it is suggested that this is the unconditioned mind. And what it reveals is equally unconditioned - is not dependent on any mind, or on anything: no-mind, no-thing.
So for that mind (if one can still call it a ‘mind’), there is only the unconditioned - because that mind is the unconditioned.