No, Memo uses on-chain protocols where possible and currently there is not one for SLP token icons. While some apps have added support for token icons, they all use centralized methods like Github repositories.
Memo plans to add support for token icons once an on-chain protocol is created. If a protocol for token icons does not come about, Memo will likely create one (similar to how Memo created a token exchange protocol).
There is not currently an estimation for when Memo will launch a token icon protocol, probably beginning of 2022 at the earliest.