A quick Google search will answer that question for you.

Google this:

stimulus check itin

Follow those results; make sure you follow a Recent link.

IRS says no, but theres been lots of goofy stuff happening with this EIP...so you never know!

It's actually Congress that says no.  No advance refund will be payable wrt the spouse with ITIN.  Take a look at §6428(g).  If the husband is with the US Armed Forces, however, the exception under paragraph (3) may apply.