Not in my experience. I obtained a mortgage last fall and we have existing credit card limits of well over $150,000. My FICO credit score was well over 800. I have not found that having high limits causes any kind of negative effect.
For the vast majority of lenders they are going to base lending on credit score and income. While an individual lender could theoretically deny credit for reasons that don't negatively impact your credit score - such as high limits - I would hazard that that is extremely unlikely. Of course, it could happen, but would be a blue moon sort of event. The more likely harm would come from reducing limits. This is because what does negatively impact your credit score is utilization over about 10% of your credit available. Therefore, lowering limits is far more likely to result in denial of credit due to lower credit score due to higher utilization.
The factors used to determine FICO score are:
Payment history - 35%
Amounts owed - 30% (this includes utilization and is directly impacted in a negative way by lower limits - this is impacted in a positive way by higher limits)
Length of credit history - 15%
New credit - 10% (they look negatively at someone going out and getting a bunch of credit at once - it is the newness of the credit that is the problem, btw, not the amount of the credit)
Type of credit - 10%
FICO Credit Score Chart: How credit scores are calculated
Amount of total credit available is not a factor except as it relates to utilization where more credit is favorable.
Again, I am not doubting that an individual lender could decide to not loan based upon high limits. What I am saying is that that is more unlikely than a lender refusing to loan because one's credit score is lower due to what appears to be more than 10% utilization of credit. People with few credit cards and little available overall credit can easily go over 10% utilization even with routine charging that is paid off in full each month.