Yes! Big time. It's good to try everything and see what works best. However, after trying to integrate into the community and promoting your self there, if you see a general lack of reader interest that's a good sign to try out another site. No matter how much we wish it so, sometimes the comics we make aren't for everyone. For example, I wouldn't expect readers interested in superheroes/fighting/gag comics to instantly love my long story fantasy adventure comic. It's best try else where that has more of the readers you're looking for than to stay unknown.
Another option than other comic hosting sites, are webcomic lists, directory, referral sites that you can just submit a link to your comic to and pretty much forget it exist. Sites like these are just a list of webcomic sites that readers leaf through to find comics based on tags and genres. Sites like:
Belfry Webcomics Index
The Web Comic List
Comic Basement
Comic-Rocket
lots more, try googling webcomic directory sites.
This topic is covered quite a bit in the forums. Here are some links to other thread posts covering this and self-promotion:
There's also sites that you can places ads for your webcomic for free: