Yes, it's called churning. Remember amounts and receivers are completely hidden from the blockchain. The only thing visible are senders, but theyre obfuscated thru ring rigs.
1 transaction is 1 in 16 chance = ~6% chance to guess that you're the sender
2 transactions = ~0.4%
3 transactions = ~0.02%
...etc
I would stagger your self sends over time, not back to back. Less than a cent to transact anyways.
And over time youre automatically chosen as decoys for the transactions of others - further compounding your obfuscation to a ridiculous degree