I'm not sure how the Tucson market is but I wasn't able to find any properties qualifying for the FHA loan program for a 4-unit property in Los Angeles because of the Self Sufficiency qualification.Now I'm looking at buying a single family home and buiding an ADU on it since there are many low downpayment, low interest loan products out there for this strategy.

Has anyone utilized the 100 percent financed Multi-family Acquisition Program?

However, there are LOTS of loan programs out there.

You definitely can and I did for my house hacks... a step further, I also used down-payment assistance programs that were available the first time for first time home buyers that covered the 3.5% down-payment. 

So it depends on which housing authority administers the program.

I met someone who is an experienced real estate investor and she said she can help with me with her coaching program at $7,000.

It may have gotten better, but that program used to be a real pain to execute. 

@Dan Schweit and @Jaysen Medhurst There are some incredibly aggressive commercial programs out there for 1-4 units right now that will cash out up to 75% into a 30 year fixed term without previous rental history other than a signed lease and proof of deposit! 

Also Alexander Felice wrote an article about the Delayed Financing Program in which you can refinance sooner as well. https://www.biggerpockets.com/blog/work-with-lenders-brrrr-method

@Liosbel Gonzalez the 210 day is VA specific if using the IRRL program according to the lender.