Yes. A last-minute firm-side change does not mean you must accept a time that creates a real problem for you.

Respond quickly, acknowledge the conflict and offer a few alternatives that genuinely work.

You do not need to prove that your conflict is more important than the interviewer's. A short explanation is enough.

Be flexible where you reasonably can, but protecting the conditions under which you can interview well is legitimate.

I pushed back on a same-day change because of work meetings and they moved me to the next morning.

Give alternatives instead of just saying no.