Yes, one can have multiple kintypes, and although we only have the one kintype ourselves we've met many that do have two or more. There's nothing wrong with that.
It may be worth looking into whether you're otherhearted in addition to looking into whether you're 'kin; otherhearted pertains to those that
relate to animals but don't feel they
are that animal. There's a good article on the difference between the two
here. There's also copinglinking, which is intentionally chosen nonhuman identities (more on that
here). We bring this up because of
how you're talking about your feelings regarding cats and dogs; they could absolutely still be kin feelings, but it's worth looking into related things as well and considering all the options. There are a wide variety of experiences and it can be helpful to look at all the options before settling on what fits best. The linked articles are pretty good introductions and are worth a read to better understand the terms even if you don't consider them for yourself.
Regardless of whether you're 'hearted, 'kin, or a copinglinker, you're welcome in the community. Folks are remarkably accepting here.
As for the garden pest thing, seconding what was said about that perception being very much a human thing. There's nothing wrong with being a creature humans see in a negative light, and there's nothing "lame" about it. It's okay. What matters is that it feels right to you and lines up with your experiences.