I only read the OP, but I'll say sure.
If you think it might create awkward situations at work, just keep it low key at work. I've known 2 couples at work that dated, and it wasn't awkward at all. They would hang out for lunch, and she might swing by his cubicle 1-2 times in the day to say a quick hi and figure out what they are doing later, but other than that, you wouldn't know they were dating.
1 of the two couples is now getting married, and the other couple is still dating.








