Absolutely! Will it be used as a true 2nd/vacation home or is he going to rent it out? The answer to that question will determine whether it's classified as a 2nd home or an investment property. That could impact the financing end of things as far as rate and down payment required.
But other than that, so long as he qualifies, a mortgage will be no problem.
If he is paying cash then none of that will matter.
I'd be glad to speak to you and your father-in-law to lay out your options. I'm in Michigan, but my company is a nationwide Direct lender so we can help him buy a home in Texas.
Feel free to call me or email me with some more details.
Tony Grech | Mortgage Loan Originator | NMLS 977416
PMAC Lending Services, Inc.
Toll-free (855) 642-4762 | Fax (248) 945-4842 | Direct (248) 728-0078