Yes, you may apply for Home Caregiving Grant (moderate disability scheme) without going for a separate disability assessment. However, you would have to meet the following non-disability eligibility criteria.

a. Singapore Citizen. 
Permanent Resident can qualify if either a parent, child or spouse is a Singapore Citizen.

b. Not in a residential long-term care institution (e.g. nursing home).

c. Lives in Singapore.

d. Means-tested.

This information is sourced from MOH.