Yes. Here is a study from Headwaters Economics, a research firm in Montana.
https://headwaterseconomics.org/public-lands/wildfire-public-land-housing/
"Less than 2% of the 181 million acres of Forest Service operational and Department of Interior land included this analysis are close enough to towns with housing needs to be practical for development—around 2.4 million acres. Most of this land is concentrated in a handful of western states—primarily Nevada, Arizona, California, New Mexico, and Utah—and the vast majority of the land is managed by DOI. Forest Service lands offer even fewer options, with only three states (Arizona, Utah, and Oregon) having more than 5,000 acres near towns."
Developing housing on public lands may offer benefits in a limited number of communities, but it is not a broad solution. While access to low-cost land can help, housing affordability depends on a complex set of factors—such as construction and labor costs, financing availability and interest rates, insurance access and affordability, and proximity to jobs. In addition, hyperlocal constraints like water supply and community opposition can further restrict feasibility.
Beyond this, I don't want our pristine and beautiful natural lands to be taken over for suburban sprawl. It's unsustainable development. Housing policy should be focused on upzoning existing municipal lands and reusing underdeveloped sites, instead of paving over new ones.