Short answer : NO.

If you are using a solo pool to solo mine BTC, then your node sits there doing exactly nothing useful to that process itself, and what matters here would be your connection to the pool and the pool's overall relay capabilities to the other nodes.

But keep in mind all of this has NOTHING to do with your chances of finding blocks, your chances depend on 100% on the hashrate you have, but once and when you find a block, then it becomes a question of how fast it gets broadcast, how close the mining node is to other mining nodes because if someone else solves the same blocks and somehow happens to propagate it faster than you, you lose an orphan race and your block gets rejected, but those cases are extremely low and as long as you use a proper pool which you have a good connection to -- all you have to worry about is your luck.