If you're using a tape drive or SD cards, sure. But even a 10 year old 5400RPM on an IDE connection should be able to satisfy your tests' requirements in a few seconds or less.
I suspect your tests are just as monolithic as you think microservices shouldn't be. Break them down into smaller pieces. If it's hard to do that, then redesign your software to be more easily testable. Learn when and how to provide static data with abstractions that don't let your software know that the data is static. Or, if you're too busy, then hire a dedicated test engineer. No, not the manual testing kind of engineer. The kind of engineer who actually writes tests all day, has written thousands (or hundreds of thousands) of individual tests during their career. And listen to them about any sort of design decisions.
If you need to access a database in your tests you're probably doing it wrong. Build a mock-up of your database accessor API to provide static data, or build a local database dedicated for testing.
I tend to use my integration tests also as characterization tests that verify the simulator/test-double I use for any external systems within my unit tests.
See also: the testing pyramid[1] and "integrated tests are a scam"[2], which is a tad click-bait, but actually quite good.