Looks like inflation has spiked in the last few months in the US, but that's after a long period of fairly low inflation. Compared to the past century, it's not that extreme yet; the 1970s and 1980s had higher inflation[0]. And the high house prices are not something from just the past few months, so it's really not inflation that's causing it.
My personal experience is Netherland[1] where the period of low inflation still continues, and house prices have also been shooting up for quite some time. We sold our previous house for 25% more after 8 years, and our current house has increased 25% in value after only 4 years. And even before I bought my first house, I was dismayed at the ridiculous house prices and wanted to wait until the whole thing crashed. (It did crash shortly after we bought our first house in 2008, but even that barely hurt the value of our house.)