Yes, not necessarily “because” they hold wealth, but as a consequence of how they got there. It’s more of a symptom. Although collateral makes it easier to borrow from a bank, and banks create money supply, thus creating inflation every time they make an investment that wasnt productive. (edit: timing matters here, probably better to say they create general inflationary pressure until their investment becomes productive).

Any transfer not connected to production can create inflation, especially if they borrow money to do it.

TBF second hand house purchases do this if transacted for a higher price - and linked to a mortgage. So all property owners are at it to some degree - unless there is price regulation , rent control, or sufficient social housing to prevent housing congestion.

Same is true for amassing market power in other markets where you do it to extract supernormal profits rather than increase production. Simple example would be to monopolise a product - a rational monopolist will jack up prices and withhold supply. So long as they’re not regulated directly or by a credible threat of market entry and competition.

Now combine the two, convince a bank to lend you money in order to buy out all your competition and amass excessive market power. Then you’ve created both money supply driven and product specific inflation. Nice!

Might as well grift some govt subsidies that don’t actually commit you to producing anything whilst you’re at it - if govt borrow to do it then you might get some more money supply based inflation.

If you’re effective at this then dumb short sighted investors keep throwing money at you in the hope that you’ll keep doing it and give them a slice of your monopoly profits - in fact it might be “short-term” rational to do this - but i suspect / hope that is due to an underestimated risk.