Is it bad I'm too clingy?

So like I've been with my boyfriend for 2 years, for the most part everything about him is perfect. The only problem is that I like physical contact a lot, and often try to be affectionate with him. Not even in like the weird making out in public or being super handsy or anything, I am talking about wanting to hold his hand/link arms when we walk, or lay my head on him when we are sitting/laying down together. And recently he has been pushing me off him and telling me to chill, which I feel a little bad about because I just love him and I want to show affection. But he's telling me it's kind of suffocating that I'm so clingy. Is there a way I can be physically affectionate without coming off as clingy?
Is it bad I'm too clingy?
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