Yes, it is perfectly possible. In fact, maybe you should try a non-persuade option game. Find out what happens when you don't pick the "I win" dialogue option. For instance, I'll bet you always take an interrupt with Mordin when you first meet him. But if you don't you find out he has a very funny line of dialogue you can get if you don't take an interrupt. Or how about those Salarians you meet on Thane's mission that point a gun at you? Have you ever tried not taking a persuade option with them? It's quite amusing.
The two most important persuade options are actually fairly easy to pass for a renagon/paragade: the loyalty disputes. With Jack/Miranda the renegade percent needed is rather low, and with Tali/Legion, the paragon percent is fairly low. The only persuade options I have had problems passing with my "neutral" characters (i.e. 50/50) are with Vasir and the hostage (in which case I just shoot the hostage) and with Morinth. But I hardly care about Morinth since I was going to pick Samara anyway, although Shepard does look kind of stupid being mind controlled by Morinth.
Don't get hung up on having the game play you. Play your character the way you want, not the way the game wants.