Can I buy 2 properties at the same time?

[Ben Cochran]

I am looking at possibly buying 2 properties at the same time. First, I'm going the FHA route and purchasing a duplex to live in and rent out the other side and putting it in my name. Second, my realtor just brought me a really good deal this morning for a fix and flip property. I have the capital to purchase it as well along with a hard money lender, but inside my LLC. I haven't approached my lender yet because I just looked at the rehab house this morning. Would there be any conflicts with purchasing both at the same time?