The short answer? Probably not with Final Fantasy Tactics. Not unless you're extremely patient, willing to put up with a lot of frustration and able to do the homework required to get a handle on the job system. Some people have in fact gotten their start with Final Fantasy Tactics. Personally though, I find the original intimidating. And it moves a bit more slowly than others to boot.
My long answer is that I technically got my start with Fire Emblem, but not before I dipped a toe into the water with Advance Wars. No, it's not technically a SPRG. But it does have strong SRPG elements, starting with that scary grid. It's also a bit more direct than most SRPGs, with character customization and leveling being exchanged for generic units.
Basically, once you've got the rock-paper-scissor power relation between the units down, the actual game is a breeze. Just drive a unit up near another unit, and open fire. Went a long way toward getting me comfortable with Fire Emblem, which seemed a lot of like Advance Wars with levels, characters and equipment. Nothing I couldn't handle. As a bonus, Advance Wars is really a lot of fun. Especially Days of Ruin, which took a back-to-basics approach to the franchise and consequently feels less complicated than other entries in the series. It's definitely not an SRPG though. Think of it as a toe in the water.
Really though, I think it's mostly an issue of mentality. Mostly, you just have to be willing to be patient. SRPGs are slower than a lot of games in other genres. They're like chess matches. The ultimate payoff is seeing your characters use hard-earned abilities to decimate the enemy, however that may happen. It's easier in some SRPGs than others to get to that point (particularly Valkyrie Profile: Covenant of the Plume). Thanks to the fact that it only allows four characters on the field its more action-oriented combat, Covenant is naturally more fast-paced than your average Nippon Ichi SRPG. In that at least, it's easier for newcomers to embrace, even if they aren't nearly as quirky.
There's also Valkyria Chronicles. Not only is it gorgeous, but the third-person perspective occasionally makes it feel a bit like a cel-shaded Gears of War. No space marines here, but maybe that's a good thing. Mostly, it's just a great way to break into SRPGs.
So for those who are interested in SRPGs and are wondering where to start, the best I can say is to take it slowly and be patient. Valkyria Chronicles and Covenant of the Plume make for great introductions, but there are plenty of other ways to get started. All you need to do is give it all a chance.
