Theoretically yes, but practically no.

If there is an average of one draw every 10 minutes, I would need to be able to submit at least 1 ticket (= 1 share with difficulty 1) every 10 minutes. If I fill out a lottery ticket but don't submit it in time, my ticket will not be considered in the draw.

With the NerdMiner, it takes an average of 60 hours to generate 1 share that meets the required minimum difficulty of 1 and is actually submitted to the solo pool. All hashes smaller than difficulty 1 are not transmitted and are essentially nonexistent because no one takes notice of them.

The technical explanation is as follows:

By default, ckpool has a pool difficulty of 10,000. For example, with cgminer, it is possible to lower the minimum difficulty to 1 using the parameter --suggest-diff 1. This means a share must meet the minimum difficulty of 1 for it to be accepted by the solo pool. Anything smaller than difficulty 1 is ignored. That's why there is no statistics for the NerdMiner because hardly anything gets through.

In terms of numbers, this means that for every GH per minute, 14 shares with difficulty 1 are generated. Therefore, for every GH in 10 minutes, 140 shares with difficulty 1 are generated:

1,000,000,000 H/s ÷ 2^32 x 60s x 10min = 140 shares with difficulty 1

In other words, I would need at least 71 MH/s or 3,550 NerdMiners in order to transmit 1 share with difficulty 1 to the solo pool every 10 minutes and for the pool to take note of the submitted hashrate:

1,000,000,000 H/s ÷ 140 = 7,142,857 H/s = 71 MH/s

71 MH/s ÷ 20 KH/s ≈ 3,550 NerdMiners

Nerdminer: 21.500

Newpac: 45.000.000.000

Compac F: 350.000.000.000

S9: 14.500.000.000.000

S19: 110.000.000.000.000

Hashes per second.